A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 30 feet, the height of the roof is 12 feet, and the height of the entire silo is 60 feet?
147,026.5 ft
135,716.8 ft
180,955.7 ft
169,646.0 ft

Answers

Answer 1

Answer:

The volume of the silo is approximately  147,026.6 ft.³.

The most correct option is  147,026.5 ft.³

Step-by-step explanation:

The given dimensions of the silo are;

The shape of the silo = Composite figure of tower and roof

The shape of the tower = Cylindrical

The shape of the roof = Cone

The radius of the base of the silo, 'r' = 30 feet

The height of the cone roof of the silo, h₁ = 12 feet

The height of the entire silo = 60 feet

For the cone roof, we have;

The volume of a cone, V = 1/3 × Base area × Height

The volume of the cone roof, V₁ = 1/3×π·r² × h₁

∴ V₁ = 1/3 × π × (30 ft.)² × 12 ft. ≈ 11,309.7336 ft.³

For the cylindrical tower, we have;

The height of the entire silo = The height of the tower + The height of the roof

∴ The height of the tower = The height of the entire silo - The height of the roof

The height of the tower, h₂ = 60 ft. - 12 ft. = 48 ft.

The volume of a cylinder = Area of base × Height

The volume of the cylindrical tower, V₂ = π·r² × h₂

∴ V₂ = π × (30 ft.)² × 48 ft. ≈ 135,716.803 ft.³

The volume of the cylindrical tower, V₂ ≈ 135,716.803 ft.³

The volume of the (entire) silo, Vₙ = V₁ + V₂

∴ Vₙ = 11,309.7336 ft.³ + 135,716.803 ft.³ = 147,026.573 ft.³

The volume of the (entire) silo, Vₙ ≈ 147,026.6 ft.³.

Answer 2

Answer:

147,026.5 ft.³

Step-by-step explanation:


Related Questions

En una reunión hay doble número de mujeres que de hombres y triple número de niños que de hombres y mujeres juntos.¿Cuántos hombres, mujeres y niños hay si la reunión la componen96 personas?

Answers

Answer:

This is a english server-

Step-by-step explanation:

Devon’s tennis coach says that 72% of Devon’s serves are good serves. Devon thinks he has a higher proportion of good serves. To test this, 50 of his serves are randomly selected and 42 of them are good. To determine if these data provide convincing evidence that the proportion of Devon’s serves that are good is greater than 72%, 100 trials of a simulation are conducted. Devon’s hypotheses are: H0: p = 72% and Ha: p > 72%, where p = the true proportion of Devon’s serves that are good. Based on the results of the simulation, the estimated P-value is 0.06. Using Alpha= 0.10, what conclusion should Devon reach?
Group of answer choices

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is not convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is not convincing evidence that the proportion of serves that are good is greater than 72%.

Answers

Answer:

Because the P-value of 0.06 < a, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Step-by-step explanation:

Right on edge 2022

The conclusion is (a) Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

How to determine the conclusion?

The given parameters are:

Null hypothesis H0: p = 72% Alternate hypothesis Ha: p > 72%,p value = 0.06α = 0.10

By comparison, the p-value is less than the alpha value

i.e. 0.06 <0.10

When the p-value is less than the alpha value, the null hypothesis is rejected.

Hence, the conclusion is (a)

Read more about hypothesis tests at:

https://brainly.com/question/15980493

HELP PLEASEEEE! whats the answer

Answers

Answer:

sum: 45

count: 15

mean: 3

Step-by-step explanation:

sum the number of times students ate fast food

count the amount of students that took the survey

the average amount of times students went out to eat

Answer:45

Step-by-step explanation: just add 1+1,2+2,3+3+3+3,+4,+5,+6+6+6

Helppp don’t comment random stuff :( thanks

Answers

Answer:

The slope is y=0.59x so 0.59

The y intercept is 0

Answer:

careful of taking pictures of problems. I got warnings and questions deleted when I had the picture of my question since it was violating the code of brainly since it was a different cite. -_-

Step-by-step explanation:

Which congruency theorem can be used to prove
that AABDADCA?
B
O SSS
OASA
OSAS
0 AAS

Answers

Answer:

SAS

Step-by-step explanation:

Given: Two triangles ΔABD and ΔDCA,  

We have, AD=AD (normal)  

∠A=∠A (Given)  

BA=CD (Sides inverse to rise to points are consistently equivalent)  

With the SAS rule of congruency,  

ΔABD≅ΔDCA

Brainliest?

In which step did Montiah make an error?
3(x+8)2 + 8 = 83
3(x+8)2 = 75
Step 1
(x + 8)2 = 225
Step 2
X + 8 = +15
Step 3
X = 7 or x = -23 Step 4

Answers

Answer:

Step-by-step explanation:

I think you mean 3(x+8)², not 3(x+8)2. If you cannot type ², use ^ to mark the exponent: 3(x+8)^2.

3(x+8)² + 8 = 83

3(x+8)² = 75

(x+8)² = 25

x+8 = ±√25

x+8 = ±5

x = -8 ± 5 = -3, -13

Answer:

Step 2

Step-by-step explanation:

How much sales tax would you pay for a $55 pair of roller blades if the tax rate is 6.625%?

Answers

Answer:

419 or 419.37

Step-by-step explanation:

55 x 6.625 = 364.375

364.375 = 364.37 (Rounded to the Nearest 10)

55 + 364.37 = 419.37

--------------------------⭐OR⭐------------------------------

55 x 6.625 = 364.375

364.375 = 364 (Rounded)

55 + 364 = 419

Josiah scored three less than twice as
many points as A'Darryl in a recent
basketball game.
If Josiah scored 9 points, how many points
did A'Darryl score?

Answers

A’Darryl scored 6 points.

3 less than:

9+3=12

Twice as many points:

12/2=6

If Josiah scored 9 points, A’Darryl scored 6 points.

While eating dinner, Summer ate 25% of the apple slices she had in her bag. There were 20 apple slices in her bag. How many apple slices did Summer eat?
slices

Answers

Summer ate 5 apple slices

Answer:

5

Step-by-step explanation:

25% of 20 is 5

What is the value of s? Uhm uh why is this so difficult.

Answers

Answer:

s = 47

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the opposite interior angles

s+45 = s+6  + s-8

Combine like terms

s+45 = 2s-2

Subtract s from each side

s+45-s =2s-2-s

45 =s-2

Add 2 to each side

45+2 = s-2+2

47 =s

NEED HELP ASAP IM BAD WITH MATH AND I NEED THE ANSWER TO THIS QUESTION SOMEBODY PLS HELP ME AND DONT GIVE ME A LINK CAUSE THOSE ARE FAKE!!!

Answers

Answer:

B. (1,2)

Step-by-step explanation:

Answer:

heyhey! your in luck, Im here again <3

Step-by-step explanation:

The coordinates are ( 1,2 ) . In answer, its B. Why? Well the distance in between was 5, and the middle landed right after the line, which landed of the coordinates ( 1,2 ) . Your welcomee!

Define perfection.
[tex] \\ \\ [/tex]

➔No links
➔Ni Irrelevant Answer
TY!​

Answers

Answer:

Hey mate.....

Step-by-step explanation:

Perfection : Something that is faultless and has no single mistake or issue.....

Hope it helps!

Brainliest pls....

Follow me! ;)

Step-by-step explanation:

The quality or state of being perfect is known as perfection .

hope it is helpful to you

What is the value of x? Enter your answer in the box.

Answers

Answer:

Lilly, since the angles are the same we can set the equal to each other, that's the "trick" of this problem

Step-by-step explanation:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

see how I got that?



125
21


Find the value of the missing angle

Answers

Exterior angle = the sum of the two included interior angle
125+21= 146

Answer:

146°.................plz mark me brainliest

Find the measure of the arc or central angle indicated by the question mark. Assume that lines which appear to be diameters are actually diameters. PLEASE HELP AND SHOW WORK

Answers

Answer:

The measure of the arc length is 62 degrees

Step-by-step explanation:

Here, we want to find the given arc measure

Mathematically, we are going to use the angle arc relationship

For the angle arc relationship, the measure of the central angle is simply the measure of the arc

In this case, the central angle is 62: this means that the given arc measure is 62 degrees too

thomas is wrapping a video game for his friends birthday. if the video game is 8 feet long , 6 feet wide and only 1/2 feet tall how much is the gift would be needed to cover the surfaces of the gift

Answers

Answer: 110ft2

Step-by-step explanation:

The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the
mean

Answers

Answer:

$16

Step-by-step explanation:

Find the mean by adding all of the costs, and dividing it by 6, since there are 6 CDs

(12 + 13 + 20 + 20 + 12.5 + 18.5) / 6

96 / 6

= 16

So, the mean is $16

2a +8= 16

I’ll give brainey for right answer

Answers

Answer:

a=8

Step-by-step explanation:

2a+8=16

-8 on both sides

2a=8

/2 on both sides

a=4

You can see the picture for the steps but the answer is a=4

Find the probability

P (Red and number less than 6)

Answers

Answer:

Red- 1/4 or 25% chance

Number less than six- 5/8 or 62.5% chance

Anita has a success rate of 80% on free throws in basketball. She wants to know the estimated probability that she can make exactly four of five free throws in her next game. How can she simulate this scenario?

Categorize each simulation of this scenario as correct or incorrect.

Roll a six-sided die five times. The
numbers 1 to 4 represent a make,
and numbers 5 and 6 represent a
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Spin a spinner with three equal
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two sections represent a make.
Generate a set of five numbers using
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Generate a set of five numbers using
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0 to 5.The numbers 0 to 3 represent a
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Spin a spinner with five equal sections
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Answers

Answer:

If a basketball player consistently shoots 80% from the free throw line and she takes 25 free throw shots throughout the course of a game, how many free throws can she be expected to make?

A basketball player makes 75% of the free throws that he attempts. What is the probability, approximated, that he succeeds in half of them in 40 trie

Answer:

Its a trick question

Step-by-step explanation:

Waiting to see if I got this answer right is making me stressed

Answers

Answer:

yeah you just have to hope you got it correct until they tell you or give you brainliest

Please help with math








Will mark brainlist

Answers

80pi is the answer I think
80 pi !!!! correct !!!!!!!!!!!

What percent of 50 is 9?
O
A. 4.5%
O B. 5.6%
OC. 9%
O D. 18%
O E. 45%

Answers

the answer is 18 because it just is trust me

Answer:

A. 4.5

Step-by-step explanation:

9/.5= 4.5

Help me quick please I can’t see link so real people answer this

Answers

Answer:

Answer is in a photo. I couln't attach here, but l uploaded it to a file hosting.

link below! Good Luck!

bit. ly/3a8Nt8n

Step-by-step explanation:

13. A sales lady is paid commission at the rate of 3% on all goods she sells. During
one month, she sold 12 television at sh. 15,500 each, 8 D.V.D player at sh. 5,650
and 4 refrigerators at sh. 21,700 each. Calculate the total commission she earned
in that month.

Answers

Answer: Sh. 9540

Step-by-step explanation:

First, we have to calculate the cost of the total things sold. This'll be:

12 television at sh. 15,500 each = sh. 186000

8 D.V.D player at sh. 5,650 = sh. 45200

4 refrigerators at sh. 21,700 each = sh. 86800

Total cost = sh. 186000 + sh. 45200 + sh. 86800 = sh. 318000

Since the sales lady is paid commission at the rate of 3% on all goods she sells, the total commission that she earned

in that month will be:

= 3% × sh. 318000

= 0.03 × sh. 318000

= Sh. 9540

please help me i dont understand it and i dont know the answers

Answers

Answer:

Step-by-step explanation:

a) y=[tex]x^{2} -4x[/tex]

x=-1 ⇒ y=[tex](-1)^{2} +4=1+4=5[/tex]

x=1    ⇒  y=[tex]1^{2} -4=1-4=-3[/tex]

x=2 ⇒   y=[tex]2^{2} +8=4-8=-4[/tex]

x=4   ⇒  y=[tex]4^{2} -16=16-16=0[/tex]

b) [tex]x^{2} -4x[/tex]=[tex]x^{2} -4x+4-4=(x-2)^{2}-4[/tex]

so the blue one

Jillian is making curtains for her room. She has fabric for each curtain that is 1.6 meters in length. She folds the bottom of the fabric up to make each curtain 8 centimeters shorter. How long is each curtain after Jillian has shortened them.

Answers

8cm = ? meters

8/100= 0.08meters

1.6m-0.08m= 1.52m

Answer: Each curtain is 1.52 meters after Jillian has shortened them.

I need help to solve

Answers

Answer:

a = 30°

b = 11°

Step-by-step explanation:

JK = 360 - 110 - 130 - 54 = 66°

Inscribed angles = 1/2 their arc

∠K = 1/2(130 + 54) = 92°

∠J = 1/2(110 + 130) = 120°

∠M = 1/2(66 + 110) = 88°

8b = 88°

b = 11°

∠L = 1/2(54 + 66) = 60°

2a = 60°

a = 30°

What is the zero of 2x+ 3y=12

Answers

Y= -2/3x+4
I just use the y=mx+b

To prepare for a bake-off, Amy used 0.64 kilograms of flour each day for 3 weeks. How many grams did Amy use in those 3 weeks?
1 kg = 1,000 g

Answers

Answer: 13440 grams

Step-by-step explanation:

Since 1 kg is 1000 g, multiply 0.64 by 1000 to find how many grams are in a kilogram.

0.64x1000

=640 grams

She uses 640 grams each day.

How many grams does he use in 3 weeks?

1 week has 7 days

3 weeks has 21 days

3x7=21

640x21

13440 grams

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