A silo of a barn consists of a cylinder capped by a hemisphere. The
height of a cylinder is 60 feet and its diameter is 30 feet. What is the approximate volume of the entire silo

Answers

Answer 1

The approximate volume of the entire silo which consists of a cylinder capped by a hemisphere is 42,390 cubic feet

Volume of the silo

Volume of a cylinder = πr²h

where,

π = 3.14

Radius, r = diameter / 2

= 30 ft / 2

= 15 ft

Height, h = 60 ft

Volume of a cylinder = πr²h

= 3.14 × 15 × 15 × 60

= 42,390 cubic feet

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Related Questions

6/5 + ? = 27/10? Help me pls

Answers

[tex]\cfrac{6}{5}~~ + ~~\boxed{?}~~ = ~~\cfrac{27}{10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{6}{5}~~ + ~~\boxed{?} \right)~~ = ~~10\left( \cfrac{27}{10} \right)}\implies 12+10\boxed{?}=27 \\\\\\ 10\boxed{?}=15\implies \boxed{?}=\cfrac{15}{10}\implies \boxed{?}=\cfrac{3}{2}[/tex]

Please help

Suppose Troy conducted a statistical study by asking 12 math teachers the following question:
"How many students are in your first period dass this year?"
Explain why this is or is not a statistical question.

Answers

The question asked by Troy is a statistical question because there would be variability in the answers he get fro the 12 maths teachers.

What is a statistical question?

A statisical question is a question that can only be answered through the collection of data. Thhere would be variablility in the results gotten from the data.

A non- statistical question is a question that has only one answer. For example, how old are you? is a non-statistical question.

To learn more about a statisitcal question, please check: https://brainly.com/question/21508412

A guest walks in and needs a room for the night. The rack rate for rooms is 15% higher than the average rate of $165 per night. What rate will the walk-in guest pay for the night?

Answers

The rate which the walk-in guest is how fast a guest needs a room

The rate which the walk-in guest pay for the night is $189.75

How to determine the rate?

The given parameters are:

Average rate = $165 per night

The walk-in guest is 15% greater than the average rate.

So, the rate of the walk-in guest is:

Walk-in = 165 * (1 + 15%)

Evaluate the product

Walk-in = $189.75

Hence, the rate which the walk-in guest pay for the night is $189.75

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a railroad crossing sign has a diameter of 30 inches. what is the area of the sign?

Answers

Answer:

706.5m^2

Step-by-step explanation:

The sign is a circle

Area of a circle is (pi)r^2

d = 30 in -> r = d/2  = 30/2 = 15

Area = 3.14 x (15)^2 = 706.5m^2

Answer:

about 706.5 or 706.86

Step-by-step explanation:

to find this answer we need to use the area formula of a circle which is A = πr ^2

we know the diameter is 30, and the radius is half the of diameter, so we take 30 and divide it by 2, which should give us 15 for the radius. ( 30/2 = 15, so r = 15)

depending on how your teacher wants u to answer this you can use π on a calculator or use 3.14

now just plug in your numbers to formula

A = 3.14 * 15^2 or A = π * 15^2

and should equal about 706.5 or 706.86 (depending on if you use 3.14 or π)

Mary and Jane went on a tour together. Mary brought twice as much money as Jane. After Mary had spent $800 and Jane had spent $240, they had equal amount of money left. How much money did Mary have at first?

Answers

Answer:

Mary has $1120

Step-by-step explanation:

money mary has at first : x

money jane has at first : y

Mary brought twice as much money as Jane : x=2y

Mary had spent $800 and Jane had spent $240, they had equal amount of money left : x-800=y-240

=> [tex]\left \{ {{x=2y} \atop {x-800=y-240}} \right.[/tex]

=> x=1120

y=560

Answer:

Mary had $1,120

Step-by-step explanation:

Let the amount mary and jane had be 2x and x respectively.

Let the equal amount be y:

[tex]mary \: (y = 2x - 800) \\ jane \: (y = x - 240)[/tex]

Using the simultaneous equation method, multiply the first equation by the coefficient of x(1) of the second equation and the second equation by the coefficient of x(2) of the first equation:

[tex]y = 2x - 800 \\ 2y = 2x - 480[/tex]

Subtract the second equation from the first equation:

[tex] - y = - 320 \\ y = 320[/tex]

$320 was their equal amount.

Substitute 320 for y in any equation:

[tex]y = x - 240 \\ 320 = x - 240 \\ x = 320 + 240 \\ x = 560 \\ \\ 2x = 1120[/tex]

Therefore, Jane had $560 at first and Mary had $1120 at first.

round to the nearest hundredth

Answers

Answer:

the answer without rounding is 147 but with its 100

Step-by-step explanation:

firsts you add up both sides of the triangle and then you subtract by 180 and now that you your answer but you had to round AN anyting above 150 you would have to run to 200 but you had one 47 so it's 100

What is the mean for this list of numbers? 4, 12, 13, 7​

Answers

Answer:

9

Step-by-step explanation:

Add all numbers together: 36

divide by the amount of numbers in the list: 9

                                      :)

HELP ME ON THIS!!!!!
PLS ITS VERY IMPORTANT

Answers

Answer: 30 units^2

Step-by-step explanation:

[tex]\mathrm{From \ the \ figure \ we \ know \ this \ is \ a \ right \ triangle. \ The \ area \ of \ the \ triangle}:[/tex]

[tex]A = \frac{1}{2}bh \\= \frac{1}{2} \times 6 \times 10\\= 30 \ units^2[/tex]

(Formula for area of right triangle: Half of the product of two right edges)

Therefore, the area of the triangle is 30 units^2

Angles P and Q are supplementary. m∠P=43∘. Which statement is true?
m∠Q=147∘

m∠Q=47∘

m∠Q=137∘

m∠Q=43∘

Answers

P + Q = 180

43 + Q = 180

Q = 180 - 43

m∠Q = 137°

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#LibreAngMatuto

Solve by substitution.
2x +y = 9
(3x – 4y = 8
-
=

Answers

Answer:

Step-by-step explanation:

Working with the top equation, subtract 2x from both sides.

y = 9 - 2x

Put this value for y in the second equation

3x - 4(9 - 2x) = 8                 Remove the brackets

3x -36 + 8x = 8                   Add 36 to both sides

3x + 8x = 8 + 36                 Combine

11x = 44                               Divide by 11

x = 4

2x + y = 9

2*4 + y = 9                          

8 + y = 9                              Subtract 8 from both sides

y = 9-8

y = 1

Answerx = 4y = 1

Christy bought a 9- foot piece of lumber trim bookshelf. Altogether, she needs 100 inches of lumber. Did Christy buy enough lumber? Show your work and explain.

Answers

Answer:

Yes.

Step-by-step explanation:

because 9 feet converted to inches equals 108 inches, we know this because we can convert feet to inches via multiplication. To do this, simply multiply the given number (9) by 12 to get your answer.

Tamara takes care of 28 chickens. Her little sister Brianna takes care of 7 chickens.How many times more chickens does Tamara take care of than Brianna?
A.3
B.4
C.21
D.35

Answers

Answer:

B. 4

Step-by-step explanation:

To undo multiplication (which is what is being asked of us) you must divide. 28 divided by 7 is 4

so

4 x 7 is 28

If Brianna is taking care of 7 chickens, Tamara is taking care of 4 times the number of chickens because she is taking care of 28

What is the slope of the line y = − 4 , equals, minus, 4? Choose 1 answer:

Answers

Answer: the slope is 0

Step-by-step explanation:

please help me it's ,due, by 30 minutes please help me.

Answers

Step-by-step explanation:

I hope its helped ! studied well.

Answer:

a: The tape diagram represents the story because there’s 5 boxes representing the 5 weeks and x-2 in each box since x represents the amount Andre’s neighbor will pay him weekly to mow the lawn. This all equals 40 because that’s how much money he has to save.

B: Andre’s neighbor pays him 10 dollars each week to mow the lawn.

Step-by-step explanation:

b: For this part you have to make an equation combining all the five weeks which would be 5x-10. Then you would make it equal 40 because that’s how much he needs to save 5x-10=40. The you solve to find x by adding 10 to both sides of the equation and get 5x = 50. Then if you divide 5 on both sides you get 10!
You can check you work by plugging in 10 as x into the diagram.

Calculate the IQR given the box plot​

Answers

Answer:

10

Step-by-step explanation:

The Interquartile Range (IQR) is the difference between Q3 and Q1.

From the diagram we see that Q1 = 40, and Q3 = 50

IQR = Q3-Q1 = 50 - 40 = 10

Which of the following expressions is equivalent to……

Answers

Answer:

Box 4

Step-by-step explanation:

negative divided by negative is positive so both negatives cancel out and u get (5/6) / (1/3)

What is the probability of picking an orange marble and flipping tails?

Answers

Answer:

1/7 and 1/2

Step-by-step explanation:

The probability of orange marble is 1/7

Probability of tails is 1/2

If you need to add this, then it'll be 1/14

7 x 2 = 14

1 x 1 = 1

Please help me understand the problem

Answers

Answer:

y = 60 :)

Step-by-step explanation:

Triangle angle total measure: 180

We need to add upp the angles we know and subtract from the total 180, so we can figure out y.

60 + 60 + y = 180

120 + y = 180

180 - 120 = 60

y = 60

Now you know how to solve this type of problem!

Have a great day!!

Please rate and mark brainliest!!

Answer:

The value of y should be 60

Step-by-step explanation:

Tell me if its not right

Explain how you would add 38+45

Answers

Answer:

83

Step-by-step explanation:

first add whatever is in the 1's place so for 38, 8 is in the 1's place and for 45, 5 is in the 1's place

so first it will be 8+5 which is 13 so you are going to carry the 1 over to the tens place so now it will be 30 + 40 + 10 and that equals 80 so you add 80 and 3 which looks like 80+3 and that equals 83

Tim read 70% of his book containing 230 pages. How many pages does he have left?

Answers

Answer:

69

Step-by-step explanation:

To do this, you want to first find how many pages he has read

So, to get that you want to multiply 230 by 70% or 0.7 (70% = 0.7 because to get the percent, you multiply the number by 100)

230 * 0.7 = 161


BUT, since you want to find how many pages he has left, you subtract the amount of pages he has read by how many pagest here are in total like so:

230 - 161 = 69 pages left

If you have any questions feel free to ask in the comments, and if this helped it would be appreciated if you left a brainliest :)

what is the area of the figure?

Answers

Answer:

182 m

Step-by-step explanation:

The shape is a trapezoid. The area of the trapezoid formula is [tex]\frac{a + b}{2}h[/tex].

The two bases (AKA a and b) are 8 + 18.

The height is 14.

[tex]\frac{18+8}{2} 14[/tex], Add 18 + 8

[tex]\frac{26}{2}14[/tex], Divide 26 by 2

[tex]13 *14[/tex], 182

please help the question is attached below

Answers

Step-by-step explanation:

a)

we have 400 people. that is 10/10 of the whole group.

7/10 of the whole group drink tea. that is

400 × 7/10 = 40 × 7 = 280

that leaves 3/10 of the whole group not drinking tea

400 × 3/10 = 40 × 3 = 120

from the 280 tea drinkers 20% drink at lay e cups of tea each day. that is

280 × 20/100 = 28 × 2 = 56

because 20 out of 100 is the meaning of 20%.

and the remaining 80% of the tea drinkers drink less then 3 cups each day.

280 × 80/100 = 28 × 8 = 224

b)

out of the 400 people 56 drink at least 3 cups of tea each day. that is

56/400 = 7/50

a/-3=18 what does a equal?

Answers

Answer:

I believe a is equal to -54

solve for x ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]


thankyou ~​

Answers

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x= 3, 2

[tex]\boxed{\bold{x = 2, 3}}[/tex]

Stepwise Solving:

[tex]\rightarrow \sf x^2-5x + 6 = 0[/tex]

[tex]\sf use \ the \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]

Identify the coefficients:

a = 1b = -5c = 6

Solve for x:

[tex]\dashrightarrow \ \sf x=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4 \ x \ 1 \ x \ 6}}{2 \ x \ 1}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{\left25-24}}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{1}}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm1}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right+ 1}{2} \ , \dfrac{\left5\right- 1}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{6}{2} \ , \ \dfrac{4}{2}[/tex]

[tex]\dashrightarrow \ \sf x= 3, \ 2[/tex]

Which function includes the pony (0, 9) on its graph?

Answer choices:

A: x=9
B: y=9x^2
C: y= √x + 3
D: y= -1/3x + 9

Answers

Answer:

D is d because when You have to do they graph You have multiplicar

Can someone help me solve this please, I'm stuck.

Answers

The expression (3a + 2b)^7 is a binomial expression;

The coefficient of the fourth term is 15120

How to determine the coefficient fourth term?

The equation is given as:

(3a + 2b)^7

The above expression is a binomial expression;

Assume the expression is:

(x + y)^n

The equation of the expansion is:

[tex](x + y)^n = ^nC_r * x^{n-k} * y^k[/tex]

When the expression is expanded, the parameters of the fourth term are

n = 7

r = 4

x = 3a

y = 2b

So, we have:

(3a + 2b)^7 = 7C4 * (3a)^(7-4) * (2b)^4

Evaluate each factor

(3a + 2b)^7 = 35 * (3a)^3 * (2b)^4

Evaluate the powers

(3a + 2b)^7 = 35 * 27a^3 * 16b^4

Evaluate the product

(3a + 2b)^7 = 15120a^3b^4

The coefficient of the above expression is 15120

Hence, the coefficient of the fourth term is 15120

Read more about binomial expressions at:

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I need help with this question

Answers

                                                                                                                                                               

Step-by-step explanation:

                           

The circle graph shows how Lila spent her after-school time during the month of October.
Part A

If Lila spent a total of 92 hours on these activities in the month of October. How much time did she spent at Yoga?

Answers

Using proportions, it is found that she spent 25.76 hours at Yoga.

What is a proportion?

A proportion is a fraction of a total amount.

Researching the problem on the internet, it is found that the circle graph shows that she spent 28% of her time of 92 hours on yoga, hence:

h = 0.28 x 92 = 25.76.

Hence, she spent 25.76 hours at Yoga.

More can be learned about proportions at https://brainly.com/question/24372153

The percentage price of an article is 30000 and its price after the discount is 27600. What will the percentage of the discount be ?​

Answers

the answer for this would be 20 percent

I need help with this question

Answers

Answer:

Length: 20, Width=34

Step-by-step explanation:

Say the length of the width is w, and the length of the length is l. Then, we can establish an equation of W=2L-6. Since the area of a rectangle is W*L, we can substitute W with 2L-6. If we multiply 2L-6 and L, we get [tex]2L^{2} -6L[/tex]=680. We can simplify this equation by dividing everything by 2. We then get [tex]L^{2}-3L=340[/tex]. If we solve for L, we get 20. Now, we plug 20 into the equation, W=2L-6. Since W=2(20)-6, which simplifies to W=40-6 which is 34, we get a width of 34.

Hope this helps

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