100 POINTS
A cone has a slant height of 7.5cm and a radius of 4.5 cm. What is the volume of the cone?

Answers

Answer 1
h²=7.5²-4.5²h²=6²h=6cm

Now

volume:-

1/3πr²h1/3π(4.5)²(6)π(20.25)(2)40.5πcm³
Answer 2

Answer:

Volume of cone = 127.17 cm³

Step-by-step explanation:

In the question we are given ,

Slant height = 7.5 cm

Radius = 4.5 cm

And we are asked to find the volume of cone. We know that ,

[tex] \red{\boxed{ \rm{Volume \: of \: cone = \frac{1}{3} \pi r {}^{2}h }}}[/tex]

Where ,

π = 3.14

r = 4.5 cm

h = Not given

So , for finding volume of cone we must have to find the height of cone using slant height formula i.e. ,

[tex] \green{\boxed{ \sf{l {}^{2} = h {}^{2} + r {}^{2} }}}[/tex]

Where ,

l = slant height

h = height

r = radius

Now , substituting values :

[tex] \hookrightarrow \: 7.5 {}^{2} = h {}^{2} + 4.5 {}^{2} [/tex]

Transposing 4.5 to left hand side :

[tex] \hookrightarrow \: 7.5 {}^{2} - 4.5 {}^{2} = h {}^{2} [/tex]

[tex] \hookrightarrow \:56.25 - 20.25 = h {}^{2} [/tex]

On further calculations we get :

[tex] \hookrightarrow \:h {}^{2} = 36[/tex]

[tex] \hookrightarrow \:h = \sqrt{36} [/tex]

We know that 6 × 6 is equal to 36 that means square root of 36 is 6 . So :

[tex] \hookrightarrow \pink{\boxed{\bold{h = 6 \: cm}}}[/tex]

Therefore, height of cylinder is 6 cm .

Now finding volume :

Substituting values in volume formula :

[tex] \longrightarrow\: \frac{1}{ \cancel{3} } \times 3.14 \times (4.5) {}^{2} \times \cancel{6}[/tex]

Step 1 : By cancelling 6 with 3 we get :

[tex] \longrightarrow \: 3.14 \times 20.25 \times 2[/tex]

Step 2 : Multiplying 20.25 with 2 :

[tex] \longrightarrow \:3.14 \times 40.50[/tex]

Step 3 : Multiplying 3.14 with 40.50 :

[tex] \longrightarrow \: \purple{\boxed{\bold{127.17 \: cm {}^{3} }}}[/tex]

Therefore, volume of cone is 127.17 cm³ .

#Keep Learning

Related Questions

Please Help I'll give brainiest!! (answer quick please!!!!)
1) Which statement is correct for the graph of the specified function?
A) The minimum value of the quadratic function occurs at x = 0.
B) The maximum value of the quadratic function occurs at y = 0.
C) The x-values of the linear function increase as the y-values decrease.
D) The x-values of the linear function decrease as the y-values increase.
------
2) Which statement is correct for the graph of the specified function?
A) The rate of change for the linear function is 2.
B) The rate of change for the linear function is −1.
C) The maximum value of the quadratic function occurs at y = 4.
D) The minimum value of the quadratic function occurs at x = 4.

Answers

i know you need help urgen for this but this is just for a challenge i have to answer 5 questions by the end of today! im sorry if i got your hopes down on getting and answer but good luck!

The temperature at 6:00 P.M. was 68°F. This was 5°F lower than the temperature at 3:00 P.M. The temperature at 1:00 P.M. on that day was 3°F higher than the temperature at 3:00 P.M. What was the temperature at 1:00 P.M.?

Answers

76 degrees Fahrenheit
68+5 = 73, 73+3 equals76 degrees

Your answer is 76°F

There were 500 animals at an animal shelter. On Saturday, 20 of the dogs and 15 of the cats were adopted. What percentage of the animals were adopted that day?

10%

5%

35%

7%

Answers

Answer:

7%

Step-by-step explanation:

First, let's add the 20 dogs and 15 cats together to find the total number of animals adopted

20 + 15 = 35 animals adopted

We cand do 35 ÷ 200 to find how much of a percent 35 is of 500

35 / 500 = 0.07

Multiply this number by 100 to get a percent

0.07 × 100% = 7%

7% of the animals

Add 20 dogs to 15 cats which is 35 animals.
The way I figure this out is to see what percentage it could be in 100% then multiply that by 5.
To get 500 to 100, divide by 5. Then divide 35 by 5 to match which is 7.
35 is 7% of 500, so 7% of animals were adopted on Saturday

17. Classify Each Angle Pair then find the value of X

Answers

Given -

If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,

To find -

m∠2.

Concept -

Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.

Solution -

[tex]\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}[/tex]

[tex]\rightarrow\sf{13x+5x+24-6=180}[/tex]

[tex]\rightarrow\sf{18x+18=180}[/tex]

[tex]\rightarrow\sf{18x+18=180}[/tex]

[tex]\rightarrow\sf{18(x+1)=180}[/tex]

[tex]\rightarrow\sf{x+1=\frac{180}{18}}[/tex]

[tex]\rightarrow\sf{x+1=10}[/tex]

[tex]\rightarrow\sf{x=10-1}[/tex]

[tex]\rightarrow\boxed{\bf{x=9}}[/tex]

m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°

Henceforth, m∠2 = 39°

2 tickets cost $14. How many tickets can you buy with $63?

Answers

Answer:

9

Step-by-step explanation:

2 tickets = $14

so

1 ticket = $7

$63 divided by $7 = 9

Hope this helped!

- profparis

help me with this please

Answers

Answer:

27720cm

Step-by-step explanation:

to find area, we multiply all the widths.

11×14×20×9= 27720cm

Answer:

235 square centimeters

Step-by-step explanation:

Split The Shape Into 2.

Shape 1: 11 cm by 14 cm

11 cm * 14 cm = 154 square centimeters

Shape 2: (20 - 11) cm by 9 cm

(20 - 11) cm * 9 cm = 9 cm * 9 cm = 81 square centimeters

Original Shape = Shape 1 + Shape 2

154 + 81 = 235 square centimeters

help pls :( i will help you

Answers

Answer:

7 in thick

Step-by-step explanation:

There are two of the 2 1/4 books; and one of the 2 1/2 in. thick book.

2 1/4 + 2 1 /4 = 4 1/2 + 2 1 /2 = 7 in. thick

HELP! GIVING BRAINLIEST IF ANSWERED CORRECTLY AND FOR EACH SECTION!!!
Use the diagram below, if m∠AEC=41°, find each angle measure

Answers

Answer:

[14] 139

[15] 90

[16] 41

[17] 49

[18] 139

[19] 131

Step-by-step explanation:

[14] Since m ∠ CEB is vertical with m ∠ AED = 139

[15] Knowing that m ∠FBD = 90 degree then m ∠ CEF = 90 degree

[16] Since m ∠ DEB is vertical to m ∠ADC Thus answer = 41

Note: vertical angles are angles opposite each other where two lines cross.

[17] Since m ∠ FED = 90 degree and m ∠ DEB = 41 then 90 - 41 = 49

[18] To Find m ∠CEB we have to subtract from m ∠ DEB

180 - 41 = 139

[19] Knowing that m ∠ FED = 90 degree and m ∠DEB = 41

Then m ∠ AEF =  90 +41=131

~Lenvy~

The mean of a set of data is 45 years. Find the missing numbers in the data set {40,45,48,?,54,?,45}. Explain the method or strategy you used.

please help me!!!​

Answers

Answer:

42 and 41

Step-by-step explanation:

So how I did it tbh I went everywere with this but I went backwards because the how you find the mean of something is adding all the values and then dividing them by the number of values(40+41+42+45+45+48+54=315, 315divided by 7=45) but anyway 45x7(because multiplication is the opposite of division)that equals 315-232 which is the answer to 40+45+48+54+45 which were the numbers that were given

Can someone help me with this math equation? Can you explain how to work it out also?

Answers

Answer: 50

Explanation:What we know:The numerator is 6The denominator is equal to (3*5)^(-2)In fraction-style equations, the numerators are divided by denominatorsNegative exponents are equal to (base)^|power|, and then reversing the products place in the fraction

How to solve:

    By utilizing our knowledge of the PEMDAS solving method, negative powers, and fraction-style equations, this problem can be solved with a simple step-by-step procedure

Process:Exponent

Set up equation                                                            6 / [3 * 5^(-2)]

Rewrite power                                                              6 / [3 * (5 * 5)]

Simplify power                                                              6 / [3 * (25)]

Invert power                                                                  6(25) / 3

Simplifying

Set up equation                                                            6(25) / 3

Simplify                                                                          150 / 3

Simplify (using common denominator)                        50 / 1

Rewrite in simplest form                                               =50

Answer: 50

50 I did this one yesterday

i need help please will give brainlist

Answers

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Ok so the answer is C


Can somebody help me with this please and thanks

Answers

Answer:

120 cubes are required.........

Answer:

120 1/3 cubes

Step-by-step explanation:

you have 5 thirds so 5 and 4 thirds so 4 and 2 wholes which is 6 thirds so you would multilpy them and the equation would be 5x4x6 and that equals 120.

What is the volume of this figure?

Enter your answer in the box.

__ft3
(I already know the answer is 3300)

Answers

Answer:

[tex]3300ft^{3}[/tex]

Step-by-step explanation:

For this problem it is easier to split it up into two shapes. One being the big box(1) on top and the other being the small box(2) below it.

Volume of box 1:

[tex]Volume = length*width*height[/tex]

[tex]Volume of Box 1 = 25ft*(20+4)ft*5ft = 3000ft^{3}[/tex]

Volume of box 2:

[tex]Volume = length*width*height[/tex]

[tex]Volume of Box 2 = 25ft*4ft*(8-5)ft=300ft^{3}[/tex]

Total volume:

[tex]Total Volume = Volume of Box 1 + Volume of Box 2 = 3000ft^{3}+300ft^{3} = 3300ft^{3}[/tex]

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

Let us split the given figure into two cuboids

The dimensions of one cuboid = 20 ft*25 ft *5ft

The dimension of the other cuboid = 4 ft*25ft * 8ft

So, the volume of the figure will be the sum of the volume of both the cuboids.

What is the volume of a cuboid?

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

So, the volume of the cuboid with dimensions 20 ft*25 ft *5ft

= 20*25*5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft*25ft * 8ft

=4*25*8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

Therefore, the volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

To get more about cuboids visit:

https://brainly.com/question/22694657

Due to gravity, an object falls 16t squared feet in t seconds. You drop a backpack from a window that is 60 feet above the ground. Will the backpack hit the ground in 2 seconds?

Answers

Answer:

No

Step-by-step explanation:

Since gravity falls at a rate of 16 feet per second, t= number of seconds.

if t=2 seconds, you would have the equation 16*2 = fall amount

16*2 =32. Since it is less than 60 feet, the backpack won't hit the ground in 2 seconds

A triangle has one side that is 4 centimeters long and one that is 9 centimeters long. The third side is a whole number of centimeters. What is the shortest possible third side?

Answers

Answer:

6

Step-by-step explanation:

Using the Triangle Inequality Theorem, we can derive the range in which the third side, x. If you are having trouble with the theorem, it is that the sum of any two sides must be larger than the other side.

4 + 9 > x => x < 13

x + 4 > 9 => x > 5

x + 9 > 4 => x > -5

Combining all three equations gives us 5 < x < 13

Since the number is a whole number, the smallest whole number that satisfies the range is 6. The answer is 6.

Hope I helped!

The answer is 35! Hope this helps!

What is the value of x?

Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Remark

These two angles are supplementary. They make up the horizontal line. Supplementary angles add to 180 degrees.

Equation

x + 134 = 180

Solution and Answer

x + 134 = 180                    Subtract 134 from both sides

x + 134 - 134 = 180-134    Combine

Answer: x = 46

Can someone find F(12).
i really have no idea...
Please and thank you?

Answers

Answer: 909.03

Step-by-step explanation:

We know that the equation is an exponential function, it can be written as y=ab^x

[tex]100 &=a b^{6.5} \dots \mathrm{Equation \ 1} \\11 &= a b^{1} \\[/tex]

[tex]\Rightarrow ab^1=11[/tex]

[tex]\Rightarrow \frac{ab^1}{b}=\frac{11}{b};\quad \:b\ne \:0[/tex]

[tex]\Rightarrow a=\frac{11}{b}[/tex]

a = 11/b, substitute it in equation 1

[tex]100 &=a b^{6.5}[/tex]

[tex]\Rightarrow 100=\left(\frac{11}{b}\right)b^{6.5}[/tex]

[tex]\Rightarrow 100b=11b^\frac{11}{2}[/tex]

[tex]\Rightarrow 11\sqrt{b^{11} } =100b[/tex]

[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]

[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]

[tex]\Rightarrow {b^{11} } =\frac{10000}{121}}[/tex]

[tex]\Rightarrow {b} =\frac{\sqrt[11]{10000 \cdot 11^9} }{11}[/tex]

[tex]\Rightarrow {b} = 1.49379[/tex]

a = 11/b

a = 11/(1.49379)

a = 7.36382

Equation: y = (7.36382)(1.49379)^x

Now plug in 12 for x:
[tex]\Rightarrow { \left(7.36382\right)\left(1.49379\right)^{12}[/tex]

[tex]\Rightarrow 7.36382\cdot \:1.49379^{12}[/tex]

[tex]\Rightarrow 7.36382\cdot \:123.44530\dots[/tex]

[tex]\Rightarrow 909.03[/tex]

Therefore, f(12) = 909.03 for the exponential function

Find the interest on $4,000 at 3% for 4 months.
$480
$40
$400
$48

Answers

480 because 3% of 4000 is 120. 120 times 4 months is 480

Answer:

$40

Step-by-step explanation:

everyone else on brainly agrees that $40 is the answerhave a great day :)))

BRAINLIEST, JUST SAY THE ANSWER

Each fraction has many equivalent fractions. Type an equivalent fraction for the fraction below using 4 as a multiplier.

1/4

Answers

Answer:

4/16

Step-by-step explanation:

pls give me brainliest

4/16 uhhhhhhhhhhmmmm

Please help! simplify the expression:

Answers

-20a-28 I believe is the answer!
You first distribute 7 into -2a-4, which gets -6a-14a-28. You then combine like terms -6a and -14a, to get -20a-28 which you cannot combine anymore!
Hopefully that’s correct :3
The answer is 3 the guy above me shows how to do it

coach loren wants one number to describe how all of the values in the data set vary, so Kerry should tell her to use a measure of ______


a. center

b. quantity

c. distribution

d. variation

e. correlation

Answers

Answer:

variation?

Step-by-step explanation:

Help please!!!!! I have a pic

Answers

Answer:

90 bro

Step-by-step explanation:

35+55= 90

90+90=180

180 = every triangle

or

180-35-55=90

good luck

Bro it’s 90!!!!!!!!!!

Use the image to solve. I'm pretty sure it would be undefined but im not sure.
Thanks

Answers

Answer:

This line has a slope of 0, with the equation being y = -4

Step-by-step explanation:

  Slope can be found with change in y over change in x

[tex]\frac{-4--4}{-2--3} =\frac{-4+4}{-2+3}=\frac{0}{1} =0[/tex]

       Note: We can tell by just looking at the line it will have a slope of 0. A line straight up and down vertically is one with an undefined slope, but a horizontal line has a slope of 0 since there is no incline/decline.

Jenny is studying the growth of a particular type of plant. She is testing the effects of three growth factors: lighting, age, and temperature. Here are the levels she's testing for each.
Growth factor Levels
Lighting Low, Medium, High, Very high
Age month, months, months, months, months
Temperature , , ,
She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there?

Answers

Answer:

80

Step-by-step explanation:

For these types of counting problems, just multiply all of the levels.

For example, this would be

4 choices

5 choices

4 choices

Multiply 4*5*4, and you get 80.

Total number of ways of combining one level from each of the growth factors is equals to 80.

What is fundamental principle of counting?

" As per fundamental principle of counting if first event has 'm' number of possible outcomes , second has 'n' number of possible outcomes then total number of ways are m× n ."

According to the question,

Number of growth factors =3

First growth factor: Lightening

Second growth factor: Age

Third growth factor : Temperature

As per the data given we have,

Number of levels in lightening 'm'= 4

Number of levels in age 'n'= 5

Number of levels in temperature 'p' =4

Substitute the value as per the definition of fundamental principle of counting

Total number of ways = m × n × p

                                     = 4 × 5 × 4

                                     = 80 ways

                                         

Hence, total number of ways of combining one level from each of the growth factors is equals to 80ways.

Learn more about fundamental principle of counting here

https://brainly.com/question/23905307

#SPJ2

ahh help im confuse pls answer

Answers

Answer:

I think that the answer is 1/6

(BRAINLIEST TO BEST ANSWER!)
How do you write 254,456 in expanded form?

Answers

200,000+50,000+4,000+400+50+6

Which statement is true about the graphs shown?

Answers

i think C but im not sure
That would be c! Hope this helps ;)

The diagram shows a pair of similar figures.

What do the center and the scale factor need to be in order to transform triangle ace to triangle abd ?

Answers

Answer:

C

Step-by-step explanation:

what is 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2 in exponential form?
whoever answers correctly gets brainliest!

Answers

Answer:

[tex]2^9[/tex]

Step-by-step explanation:

Since there are nine 2s being multiplied by each other, we can represent this as [tex]2^9[/tex].

Answer:

2^9

Step-by-step explanation:

there are 9 2's and since it has to be in exponential form its 2^9

please answer these questions i will give points or brainliest and its urgent

Answers

Answer:

1=67

2=142

3=69

4=90

5=138

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