Find the volume of a cone that has a diameter of 14 feet and a height of 11 feet. Use 3.14 for pi

Answers

Answer 1

Answer:

564.15 cubic ft

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a cone has a diameter of 14 feet and a height of 11 feet and we have to find the volume of the cone.

[tex] \: [/tex]

To Find the volume of the cone, we must know this formula :

[tex] \\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(cone) }= \dfrac{1}{3} \: \pi {r}^{2}h }}}}}}} \\ \\[/tex]

Where,

r refers to the radius of the cone. As the diameter is 14 ft, therefore the radius will 7 ft.

h refers to the height of the cone.

Now, we will substitute the values in the formula :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(7)}^{2} \times 11 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 49 \times 11 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 539 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1692.46 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1692.46}{3} }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \: \: \underline{ \boxed{ \frak{564.15 } }} }}}}}}} \: \: \bigstar \\ \\[/tex]

Therefore,

The volume of the cone is 564.15 ft³ .

Answer 2

Step-by-step explanation:

Given :-

Height of cone :- 11 feet Diameter of cone :- 14 feet , radius = 7 feet

To Find :-

Volume of cone

Solution:-

Formula for volume of cone = 1/3πr²h

putting the known values ,

Volume = 1/3×3.14×7²×11 cubic ft.

Volume = 564.15 cubic ft.


Related Questions

Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows. Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet. She is required to purchase a piece of carpet which includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece. The labor costs are $23 per hour, per person. A two-person carpet crew can lay 50 square feet of carpet each hour. The crew that will complete the job at Charlotte's house will be a four-person crew. There is an additional $75 fee to cover the cost of equipment, materials, and supplies. What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.

Answers

Answer: 2.23 hours

Step-by-step explanation:

dimensions of the room------------------- >16*13

1 in---------------- >0.0833333 foot

3 in----------------- >x

x=3*.0833333=0.25 ft

Let

C-------------- > dimensions of the piece of carpet that Charlotte must purchase

C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft²

The answer a the question 1) is 16.50 feet X 13.50 feet

The answer a the question 2) is 222.75 ft²

3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?

if two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour

four person carpet crew can lay 100 square feet of carpet---------- > 1 hour

therefore

if  100 ft² carpet----------------------- > 1 hour

222.75 ft² carpet--------------------- > x

x=222.75/100=2.2275 hours=2.23 hours

The answer is 2.23 hours

Can anyone please solve this? I need it to be right.

Answers

Answer:

65

Step-by-step explanation:

[tex]\frac{3(2^5)-13(-2)+2^3}{-2^2+3^2-3} =\frac{3(32)+26+(8)}{(-4)+(9)-3} =\frac{96+34}{2} =\frac{130}{2}=65[/tex]

What is 28x²y + 38xy - 6y factored?

Answers

Answer:

(2y)(7x-1)(2x+3)

Step-by-step explanation:

first, all the terms have a 2 and a y in common. you can take that out of every term. then i just used the quadratic x factor method, you can find out what it is via the internet, its the fastest option to factor if possible :)

Answer:

[tex]=2y (7x-1) (2x+3)[/tex]

Step-by-step explanation:

[tex]28x^{2}y + 38xy - 6y[/tex]

[tex]=2y(14x^{2} +19-3)[/tex]

[tex]=(7x-1) (2x+3)[/tex]

[tex]=2y(7x-1) (2x+3)[/tex]

What does volume measure?

a
the total distance around a figure
b
the average of the sum of all items
c
the exposed surface of a solid shape
d
the amount of space occupied by an object (its capacity)

Answers

Answer: d - the amount of space occupied by an object (its capacity)

Explanation:

        [a] The total distance around a figure is the perimeter, this does not answer our question.

        [b] The average of the sum of all items is the mean, this does not answer our question.

        [c] The exposed surface of a solid shape is the object's surface area, this does not answer our question

        [d] The amount of space occupied by an object is the object's volume, so this does answer our question.

In a right triangle, cosine a = 0.352 and sine a = 0.936. what is the approximate value of tangent a? 0.329 0.376 1.288 2.659

Answers

The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.

What are the trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.

[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]

Here, θ is the angle.

The value of angle given in the problem are,

Cosine a = 0.352 Sine a = 0.936.

Put these values in the above fromula as,

[tex]\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659[/tex]

Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.

Learn more about the trigonometric ratios here;

https://brainly.com/question/24349828

Answer:

D(2.659)

Step-by-step explanation:

got it right on edg

Jamie and Linda are having a contest to see whose photo will get more "likes" on social media.

Jamie's photo got 75 likes by the end of the first day and is getting 36 more likes each day.

Linda's likes can be modeled by the function f(x)=18(2)x.
Which statements are true? Select all that apply.

Hint: Use a table or graph to compare the number of likes that Jamie and Linda get. Remember that the value of the function at x=1 represents number of likes at the end of the first day.

Answers

Answer:

2) Jamie's photo gets more likes within the first three days than Linda's photo.

What are the roots of the quadratic equation y=x^2 -10x +125?

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

[tex]x=5\pm10i[/tex]

Step-by-step explanation:

[tex]y=x^2-10x+125\\\\0=x^2-10x+125\\\\0-100=x^2-10x+125-100\\\\-100=x^2-10x+25\\\\-100=(x-5)^2\\\\\pm10i=x-5\\\\5\pm10i=x\\\\x=5\pm10i[/tex]

30. The surface area of a rectangular prism is
450 m2. What will be the new surface area if
all the dimensions are doubled?
A. 675 m2
B. 900 m2
C. 1,800 m2
D. 3,600 cm
hevolume of a

Answers

Answer:

1800 m²

Step-by-step explanation:

The surface area of a prism is the sum of the areas of its faces.

⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB)

⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB) = 450 m²

⇒ 2(LH + BH + LB) = 450 m²

Finding the surface area if the dimensions are doubled:

⇒ 2[(2L × 2H) + (2B × 2H) + (2L × 2B)]

⇒ 2[(4LH) + (4BH) + (4LB)]

⇒ 2[4LH + 4BH + 4LB]

⇒ 2[4(LH + BH + LB)]

⇒ 2[2 × 2(LH + BH + LB)]

⇒ 2[2(450)]                                                           [2(LH + BH + LB) = 450 m²]

⇒ 2[900]

1800 m² (Option C)

Two brothers decided to bike to visit their grandma who lived 12 miles away. One of them biked at speed 8 mph and then he waited for his brother for 30 minutes. What was the speed of the second brother?

Answers

Answer:

6 m/hr

Step-by-step explanation:

The first brother took   12/8 = 1.5 hr

the second brother took  1.5 + .5 = 2hours

  12 miles / 2 hrs =

can someone please help me with this question

Answers

A. 30.4 minutes

Hope this helps

Answer:

30.4

Step-by-step explanation:

17+28+32+35+59+20+19+33+30+31=304

304/10=30.4

An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 3 1/2 hours?

Answers

2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

lat a = the length of a car in meters. Let b = the length of the same car in centimeters. which number is greater, a or b? Answer for 100 points.

Answers

Answer:

B

Step-by-step explanation:

Centimeters are 100 times bigger than meters, so if you had 1 meter, it would be 100 centimeters. Therefore, centimeters are greater than meters.

B is the answer I’ve had this question on one of my tests and I got a 93 average

Two drums have their radii in the ratio of 2:3, if the height of the first drum is 1.5m, what is the height of the second drum, if the two contain same amount of water?​

Answers

Answer:

0.6

Step-by-step explanation:

apply the volume of cylinder and equal both of them because both contain same amount of water.

see the picture for full solution

Whats the area of a circle that has a 8mm dimeter using 3.14 of pi

Answers

Answer:

50.24

Step-by-step explanation:

8/2 = 4

3.14 x 4^2 = 50.24

Jake drew the sketch below of a kite that he wants to make.
A kite with height equal to the sum of 10 centimeters and 50 centimeters and the width equal to the sum of 20 centimeters and 20 centimeters.
Part A
Which of the following expressions can be used to find the area of the kite? Select all that apply.
2 (12 × 20 × 50) + 2(12 × 20 × 10)
2 (12 × 20 × 60)
2 (20 × 50) + 2(20 × 10)
12 (20 × 50) + 12(20 × 10)
12(40 × 60)
Part B
What is the area of Jake's kite? Enter your answer in the box.

area =
cm2

Answers

Answer:

Part A: 2 (20 × 50) + 2(20 × 10)

Part B: 1200 cm²

Step-by-step explanation:

Part A:

2 (20 × 50) + 2(20 × 10)

= 2(1000) + 2(200)

= 2000 + 400

= 2400

Part B:

Divide the answer by 2.

= 2400/2

= 1200 cm²

Because the formula to find the area of a kite is

1/2 x (p x q), where p is the sum of a diagonal and d is the sum of a diagonal.

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.5. The cooler has 16956cmCubed of water in it. How many cups can be filled from the cooler?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.

Answers

Answer: the answer is 150 :)

Step-by-step explanation: Volume of a cone is

V = 1/3 pi * r^2 *h

The volume of one cone is

pi = 3.14

r = d/2 = 6/2 =3

h=9

Substitute what we know

V = 1/3 * (3.14) * (3^2) * (9)

  = 27* 3.14

  = 84.78  cm^3

The water cooler has 12717 cm^3 water

Divide the water by the volume of the paper cup cone  and we will know how many paper cup cones we can fill, assuming we fill them completely.

12717/ 84.78 = 150

We can fill 150 paper cup cones. have a great day!

The table shows the possible outcomes of spinning the given
spinner and tossing a fair coin. find the probability of spinning a 1 and tossing a
head.
5
3
4
1 2 3 4 5
h1,
h2,h 3, 4, 5,h
t 1, 2, 3, t4, t5,t
the probability of spinning a 1 and tossing a head is

Answers

Spinning the spinner and tossing the coin is an illustration of probability

The probability of spinning a 1 and tossing a head is 0.10

How to determine the probability?

From the table, we have the following parameters:

Total outcomes, n = 10

A 1 and a head, n(H1) = 1

So, the probability of spinning a 1 and tossing a head is:

P(H1) = n(H1)/n

Substitute known values

P(H1) = 1/10

Evaluate the quotient

P(H1) = 0.10

Hence, the probability of spinning a 1 and tossing a head is 0.10

Read more about probability at:

https://brainly.com/question/251701

Which value represents |26|?
OA) -26
OB) O
OC) 26
OD) 126

Answers

The answer of the question is OC)26 :)

Jon owns a clothing store where he designs pairs of shorts, s, and T-shirts, t.
He sells shorts for $14 and T-shirts for $6 each. Jon can work 12 hours a day,
at most. It takes him 15 minutes to design a T-shirt and an hour to design a
pair of shorts. He must design at least 12 items each day, but he cannot
design more than 20 items in one day. Which set of inequalities below
represents this scenario?
A. S 2 12-tss 20 - ts 12 -0.25t, s 2 0; t2 0
B. s2 12-t, ss 20-t, ss 12 -0.25t, s 0;t20
O C. s2 12-t s2 20-t ss 12 -0.25t, s 2 0;t2 0
D. s2 12+ tss 20 + tss 12 -0.25t, s 0,20

Answers

Answer:

The correct option is;

B. s ≥ 12 - t, s ≤ 30 - t, s ≤ 24 - 0.66·t

Step-by-step explanation:

The set of inequalities below represents this scenario s ≥ 12 - t,

s ≤ 30 - t, s ≤ 24 - 0.66·t

We have given that,

at most. It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 20 items in one day.

What is inequality?

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

lets t=times

s=shorts

We have to determine the correct inequality so that we will get,

The correct option is;

s ≥ 12 - t,

s ≤ 30 - t,

s ≤ 24 - 0.66·t

Therefore option B is correct.

To learn more about the options visit:

https://brainly.com/question/1382377

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(40 POINT REWARD)
Find the measure of angle b.
(Picture below.)

Answers

Answer:

b= 26 degrees

Step-by-step explanation:

A whole circle is equal to 360 degrees, so subtract 298 from it and get 62.

62 is the gap and also the value of the whole angle b+36.

Subtract 36 from 62 to get b.

62-36 = 26 degrees

Your answer!

Please help I'm stuck​

Answers

Answer:

C, those who vote FOR the Ballet Measure tend to be from District 2.

Step-by-step explanation:

Look carefully, read the questions! Okay! Cya!

Those who vote for the ballot measure tend to be from District 2. The correct option is C.

How to calculate the relative frequency of the data?

To calculate the relative frequency, we need to divide each cell value by the total number of people who voted. This will give us the proportion of people in each category.

District 1:

For: 13/75 ≈ 0.1733

Against: 12/75 ≈ 0.16

District 2:

For: 15/75 ≈ 0.2

Against: 10/75 ≈ 0.1333

District 3:

For: 9/75 ≈ 0.12

Against: 16/75 ≈ 0.2133

Based on the relative frequencies, we can see that the highest proportion of people who voted for the ballot measure is from District 2 (0.2),

While the highest proportion of people who voted against the ballot measure is from District 3 (0.2133). Therefore, the association that the two-way table suggests is:

The correct option is C.

To know more about relative frequency follow

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Which of the objects below best holds 1 gallon? A. bathtub B. milk jug C. measuring cup O D. glass of water​

Answers

Answer: B: milk jug

Step-by-step explanation:

A gallon is equivalent to 128 oz and a glass of water would not be able to hold that capacity, neither can a bathtub because a bathtub would need more than 1 gallon of water to fill it up. A measuring cup is usually used for cooking etc... and usually the measurements aren't measured by gallons. So the only realistic answer it would be is a milk jug.

Answer is 1, I just need the working. Thank you

Answers

there are three pictures with every step

good luck writing that on the paper bro lol

Help please I’ll give you 45 points

Answers

Answer:

63 square inches

Step-by-step explanation:

You already have the polgygon divided into two rectangles, so we will use them.

The top rectangle has the dimensions of 5 and 9.

The bottom rectangle has the dimensions of 6 and 3.

To find the area of a rectangle:

area = length x width

A = lw

The area of the top rectangle:

A = 5 x 9

A = 45 square inches

The area of the bottom rectangle:

A = 6 x 3

A = 18 square inches

To find the total area, add the two areas together.

45 + 18 = 63 square inches

what is the area of a trapezoid with coordinated (0.0), (1,3), (4,3), (2,0)? (no picture given)
a. 2
b. 6
c. 9
d. 8

Answers

The area of the trapezoid, to the nearest whole number is: D. 8 units²

What is the Area of a Trapezoid?

Area of trapezoid = 1/2(a + b)h, where:

h = height of trapezoida and b = lengths of the bases of the trapezoid.

Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:

h = 3 unitsa = 3 unitsb = 2 units

Area of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3

Area of the trapezoid = 7.5 ≈ 8 units²

Learn more about the area of trapezoid on:

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How much paper is needed to make a cone with a radius of 6cm, a height of 8cm, and a slant height of 10cm?

Answers

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Radius(r) of cone = [tex]\sf\pink{6cm.}[/tex]

[tex]\rightarrow[/tex] Height(h) of Cone = [tex]\sf\pink{8cm.}[/tex]

[tex]\rightarrow[/tex] Slant height(l) of cone = [tex]\sf\pink{10cm}[/tex]

[tex]\sf\large\underline{\star To \: Find:-}[/tex]

[tex]\rightarrow[/tex] Length of paper needed to make a cone with above given dimensions (i.e, curved surface area of cone).

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] As we know that,

Curved surface area of cone = [tex]\sf\blue{πrl}[/tex]

On substituting the value of radius(r) and slant height(l) in this formula we get,

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×6×10}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×60}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{1320}{7}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 188.57 cm^2.}[/tex]

Therefore, [tex]\sf\purple{188.57cm^2}[/tex] paper is needed to make a cone of given dimensions.

_____________________________

Hope it helps:)

Step-by-step explanation:

Given:-

Radius of cone :- 6cmHeight of cone :- 8cmSlant height of cone :- 10 cm

To find :-

How much paper is needed to make a cone

Concept :-

We need to find the Curved surface area of cone to find the amount of paper needed to make the cone of given dimensions.

Solution :-

As we know ,

the formula for finding the curved surface area of cone :- πrl

putting the known values ,

CSA :- 3.14 × 6 × 10 cm²

CSA of cone :- 188.4 cm²

Find the value of x.

Answers

First find out the value of big triangle and small triangle and - Big triangle and small triangle

What is the area of this figure? 4 cm 5 cm 5 cm​

Answers

Answer:

100

Step-by-step explanation:

5*5*4=100

Someone do number 8 pleaseeee

Answers

Answer:

3 7/8 liters

Step-by-step explanation: 3 7/8 liters because she first filled one container with 1 5/8 liters of rice and 2 1/4 liters on the other. Since you want to know how much she has in both you add 1 5/8 and 2 1/4. After that you convert 2 1/4 into 2 2/8 and add that to 1 5/8 to get 3 7/8 liters of rice.

Karla’s recipe for brownies serves 10 people. She needs to feed 40 people. The ingredients for the original recipe says that she needs 1 3/4 cups of sugar. How many cups of sugar will she need to serve 40 people?

Answers

Answer:

7 cups

Step-by-step explanation:

1 3/4 x 4 = 7

Karla will need 7 cups of sugar to serve 40 people.

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