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miv72 [106K]
3 years ago
6

The height of a right cylinder is r , where r is the radius. Write a function f in simplest form that represents the ratio of th

e volume to the surface area.
Mathematics
1 answer:
IrinaVladis [17]3 years ago
7 0

Answer:

  f(r) = r/4

Step-by-step explanation:

The volume formula for a cylinder is ...

  V = πr^2·h

The total surface area of a cylinder is ...

  A = 2πr^2 +2πrh

Then the ratio of volume to surface area is ...

  V/A = (πr^2·h)/(2πr(r+h)) = rh/(2(r+h))

__

In this problem, we have h = r, so the ratio becomes ...

  V/A = r·r/(2(r+r)) = r/4

As a function of r, this is ...

  f(r) = r/4

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Answer:

x = -5

Step-by-step explanation:

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18x - 12x = -30

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The length of the base of a rectangular prism is given as x + 4, and the width of the base is x +2. The height of the rectangula
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8 0
3 years ago
2 Richard and Jason each begin filling pools at the same time.
alina1380 [7]

The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

<h3>What are gallons?</h3>

A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.

It is given in the question that:-

Richard fills his pool at a rate of 6 gallons per minute.

Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.

After 20 minutes the amount of liquid in the tank will be:-

For Richard = 6 gallons per minute. x  20  minutes= 120 gallons

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So it will become = 200+24=240 gallons.

Hence  quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

To know more about Gallons follow

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Answer:36 divided by 3x is part a  and 7 is part b

Step-by-step explanation:

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