the area of a base of a cylindrical water tank is 12π square feet. the volume of water in the tank is dependent on the height of the water (h) and is represented by the function V(h) = 12π h
part a - find V to the power of -1 (h)
part b - what will the height of the water be when the volume reacher 420π cubic feet

Answers

Answer 1

Answer:

Step-by-step explanation:

V^-1(h)is find inverse function=h / 12π

V=12πh=420π

h=420π/12π=35 feet

Answer 2

The inverse of the function V(h) is V⁻¹(h) = h / (12π). And the height of the water is 35 feet.

What is the volume of a right circular cylinder?

Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,

V = π r²h cubic units

A cylindrical water tank's base measures 12π square feet. The volume of water in the tank is proportional to its height (h) and is represented by the function V(h) = 12π h.

The inverse of the function V(h) is given as,

h = 12π V⁻¹(h)

V⁻¹(h) = h / (12π)

If the volume is 420π cubic feet. Then the height of the water is given as,

420π = 12π h

h = 420π / 12π

h = 35 feet

The inverse of the function V(h) is V⁻¹(h) = h / (12π). And the height of the water is 35 feet.

More about the volume of the cylinder link is given below.

https://brainly.com/question/12763699

#SPJ2


Related Questions

HELP NOW PLS
Is the graph shown below that of a function?

Answers

Answer:

Yes

Step-by-step explanation:

because it is a piecewise function which is a function

Answer:

I am on a similar unit and I believe no, this is not a function

What are the domain and range of f(x) = 21?

Answers

The domain and the range of a function, are the set of values the function can take as input and output.

The domain and the range of [tex]\mathbf{f(x) = 21}[/tex] are:[tex]\mathbf{(-\infty,\infty)}[/tex] and 21, respectively.

The function is given as:

[tex]\mathbf{f(x) = 21}[/tex]

There is no restriction as to the value of x.

So, the domain is:

[tex]\mathbf{Domain = (-\infty,\infty)}[/tex]

Irrespective of what the value of x is, the value of y will remain 21.

So, the range is;

[tex]\mathbf{Range = 21}[/tex]

Hence, the domain and the range of [tex]\mathbf{f(x) = 21}[/tex] are:[tex]\mathbf{(-\infty,\infty)}[/tex] and 21, respectively.

Read more about domain and range at:

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What sound does Michael Jackson make when he starts "Cant stop to you get enough"

Answers

Answer:

¨ Cant stop till you get enough whooooooo¨

Step-by-step explanation:

Im a huge MJ fan

Hoped I helped-

Sleepy~

Answer:

whooooooo¨

Step-by-step explanation:

The following scale drawing was made for a home that is for sale. Use this information to answer the problem.
A.)90
B.)45
C.)22.5
D.)180

Answers

Answer:

The correct answer is 22.5

Step-by-step explanation:

in the bathroom we can see that there is a rectangle shape and a piece that is in a triangle shape the rectangles shape is 10 and the triangles is 12.5. it doesn't make much sense as I'm explaining it but on paper 22.5 is the only correct answer

two separate questions

3(5x) - 6x = 27



3(2x) + 8(-4x) = 57 + 47

Answers

1st question: x = 3
2nd question: x = -4

Ryan is moving, and he is packing a box with plates and bowls. The box can only hold 12 pounds. Each plate weighs 1.2 pounds, and Ryan has already packed 4 plates in the box. Each bowl weighs 0.9 pounds. Which inequality could be used to find b, the number of bowls that can be added to the box? WILL GIVE BRAINLIEST
A. 4(1.2 + 0.9b) 12
C. 4(1.2 + 0.9b) > 12
D. 4(1.2) + 0.9b < 12

Answers

Answer: The answer is A. Hope this helps!

The table shows the number of people waiting in line for different rides at an amusement park.What is the ratio of people waiting in line for the Round-up to people waiting in line for the Slingshot?
Roller coaster 15
Slingshot 4
Bumper cars 12
Round-up 11

Answers

Answer:

11:4

Step-by-step explanation:

for every 11 people at round up there is 4 people at slingshot

Answer:

A ratio is like this #:# but without the hashtags. lol SO, yes, it would be 11:4

Step-by-step explanation:

Who else hate khan academy?

Answers

Answer:

samme

Step-by-step explanation:

Answer:

Me i tho im forced to watch it for school

Step-by-step explanation:

In a hand of playing cards, what is the probability that all five are of the same suit?

Answers

Answer:

How many five-card hands dealt from a standard deck of 52 playing cards are all of the same suit? If a random hand is dealt, what is the probability that it will have this property?

Would the probability be:

(135)∗(41)(525)

Answer:

0.1965%

Explanation:

Because 13/52 are the same suit, we find the probability of 5 cards of the same suit (without replacemennt).

13/52=0.25

12/51=0.235

11/50=0.22

10/49=0.204

9/48=0.188

*multiply sums*

=0.0004957

*multiply by 4 since there are 4 different suits*

=0.001965x100=~0.1965%

55 quarters + 88 pennies + $0.28 + 33 dimes =

Answers

Answer:

18 dollars and 21 cents. $18.21

Step-by-step explanation:

Which answer choice correctly identifies the extraneous information in the problem?Samuel is 10 years old. He mowed the neighbors lawn on Saturday and earned $40. It took him 4 hours to mow the lawn and 2 hours to clean his room. How much money did Samuel earn an hour?A. The extraneous information is Samuel earned $40 and it took him 4 hours to mow the lawn.B. The extraneous information is Samuel took 4 hours to mow the lawn and 2 hours to clean his room.C. The extraneous information is Samuel is 10 years old and earned $40.D. The extraneous information is Samuel is 10 years old.

Answers

Answer:

D

Step-by-step explanation:

no reason for the question to include his age

Answer:

The extraneous information is Samuel is 10 years old.

Step-by-step explanation:

You don't need Samuel's age to solve the problem you only need the amount and the hours to answer the question. So, the answer would be D, The extraneous information is Samuel os 10 years old.

2x+9=17 help me someone plz

Answers

The answer is 4 :)

The reason it is 4 is because 2 x 4 would be 8 and 8 + 9 is 17!

Heather says that is if a hot air balloon descends 10 feet every 20 minutes, that the integer rate for that decline is 2 feet per minute. What would you say to Heather if you had to correct her work? (Hint: There are 2 errors Heather makes)

Answers

Answer:

Well I am not just going to give it to you

Step-by-step explanation:

So take 10 alright and then for every 20 min just divide by 2 and then figure out if that is correct if it is then find her other mistake ok

PLS HELP ASAP PLS AND TY

Answers

Answer:65

Step-by-step explanation:85-20=65

so hard

Answer:

65 feet

Step-by-step explanation:

85-20=65

PLEASE HELP ME THANKS IF YOU DO I WILL MAKE THIS 100 POINTS

Answers

Answer:

I think it is 5

Step-by-step explanation:

first you add all of the data shown and then divide by 8

I'd say 29.375 because it asks for the change so you have to determine the change from one data to the next add all of those and then divide by eight.

Denise makes bracelets. The cost for beads for each bracelet is $7. She increases the price of each bracelet to earn a profit. She sold 12 bracelets and earned $120.

Let x = the amount of increase

The equation that models this situation is:

12(7 + x) = 120

How much did Denise increase the price of each bracelet?

Answers

Answer:

$3

Step-by-step explanation:

3+7=10. 10x12=120.

She increased the price by $2

can u simplify 62/354 and if u can help

Answers

31/177 is the answer I’m pretty sure
The answer is 31/177

What is the difference between the Right of Occupancy and Original Indian Title?

Answers

treaties, it often granted only a right of occupancy or other title less than full lands not recognized by treaty.l5 Although this distinction between land rec- ognized by treaty intrusions on native lands on the theory that it breached its fiduciary duty to What the French, Spanish, Dutch and English once claimed came to be.

Answer:

it often granted only a right of occupancy or other title less than full lands not recognized.Although this distinction between land rec- ognized by treaty intrusions on native lands on the theory that it breached its fiduciary duty to What the French, Spanish, Dutch and English once claimed came to be.

HELPPPP look at image

Answers

Answer:

five:two:one:three:

Step-by-step explanation:

answer: five:two:one:three

Find the expressions that have a quotient of 7 R12. Drag the expressions to the box.
362 ÷ 50 492 ÷ 50 420 ÷ 60 408 ÷ 60 432 ÷ 60 502 ÷ 70 Quotient: 7 R12

Answers

The components of an integer division are dividend, divisor, quotient and a remainder.

The expressions with quotient 7R12 are: 362 ÷ 50 and 432 ÷ 60

Start by testing the options

[tex]\mathbf{362 \div 50}[/tex]

50 can divide 362 in 7 places and a remainder of 12.

So:

[tex]\mathbf{362 \div 50 = 7\ R\ 12}[/tex]

[tex]\mathbf{492 \div 50}[/tex]

50 can divide 492 in 9 places and a remainder of 42.

So:

[tex]\mathbf{492 \div 50 = 9\ R\ 42}[/tex]

[tex]\mathbf{420 \div 60}[/tex]

60 can divide 420 in 7 places and without a remainder

So:

[tex]\mathbf{420 \div 60 = 7}[/tex]

[tex]\mathbf{408 \div 60}[/tex]

60 can divide 408 in 6 places and with a remainder of 48

So:

[tex]\mathbf{408 \div 60 = 6\ R\ 48}[/tex]

[tex]\mathbf{502 \div 70}[/tex]

70 can divide 502 in 7 places and a remainder of 12.

So:

[tex]\mathbf{502 \div 70 = 7\ R\ 12}[/tex]

Hence, the expressions with quotient 7R12 are: 362 ÷ 50 and 432 ÷ 60

Read more about quotients at:

https://brainly.com/question/11475557

Due to global warming, over a 20-year period, many birds have extended the northern margins of
their ranges by an average of about 12 miles. Assuming global warming continues at the same
rate, by how many miles will they have extended their range in another 10 years?

Answers

I’m pretty sure it’s 16 miles.
12 divided by 2 is 6
So in another 10 years, they would have extended their range by 6 more miles in 10 years.
So 30 years would be 16 miles.
Hopefully this helps!

What is 576.7 rounded to the nearest 10

Answers

Answer:

Yes, I came up with

580

Step-by-step explanation:

Hope this helps!

Which of the following expressions represent the distance between -6 and 7 on the number​ line?

Answers

Answer:

C

Step-by-step explanation:

The lines mean the distance away from 0. When i say lines, I mean the two "l" that accompany the numbers. I forgot what there called (good job me).

Since we want to know how far apart they are, we need to add them.

Answer: If the equations are in absolute value then C, D, F. IF not in absolute value than just F.

Step-by-step explanation:

there is a distance of 13 between the two points so find any that have a total of 13.

I need help please it's a math question

Answers

Answer:

-5/6 (negative five divided by six. the fifth option)

Step-by-step explanation:

The numerator is the first number. The denominator is the second number. Sign has to be the same and only one negative to make the fraction negative.

5/6 yea I hope this help

Find the measures of the interior angles.

Answers

Answer:

The two angles are 39°

Step-by-step explanation:

180 - 102 = 78. 78/2 = 39.

Answer:

x=39

Step-by-step explanation:

We know that three angles combine has equal 180 degrees.

180-102=78

78/2=39

I subtracted 102 from 180 to know the degrees of the rest of the two angles combine, then divide the 78 by 2 to find the angles of the individual angles.

Hope this helped you : )  

I have a BIG QUESTION! Do you think sign language should be taught as a second language like instead of taking Spanish it would be sign language? Yes or No? Explain.

Answers

No. Spanish is an optional class for when you leave elementary. I think sign language should be taught like a subject starting from kinder and preschool.

Hello there, can someone help me with this question? Thanks!

Answers

Answer: option 1, I would say.

Hope I help, Xd.

Answer:the answer is D i do my best to help and if it did say thanks and if you need anymore questions you need annswered feel free to ask me and if it did help plz rate me brainest ok hope you have a good night

Step-by-step explanation:

Dance party


.............................................

Answers

it’s so cute omg awxxjviej

HELLP WILL MARK BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

First add then multiply x

Answer:

X = 10

Step-by-step explanation:

1. The first step is to Subtract 6.1 on both side

1.4x + 6.1 =  -7.9

      -6.1       -6.1

2. The second step is to divide 1.4 on both side.

1.4x = 14

/1.4    /1.4

The solution is x = 10

Trey's car has a 40 gallon tank. The fuel gauge points to . If Trey buys 30 gallons of gas, what will be the new reading on the gas gauge?

Answers

I believe it would be 4/4
Which would be full

Im pretty sure is 4 over 4

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