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# 'In terms of...'

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So, this question I tried to solve, but I want to varify if I have the right answer.

The word problem is: The height of a right circular cylinder equals its diameter. Write the volume of the cylinder as a function of its radius.

I used h= height, d= diameter, and r=radius.

Since the height equals the diameter, it would be twice the radius.

h=2r

I think volume of a circular cylinder is V=πr2h.

I plugged in 2r for h.

V=πr2(2r)

I multiplied r2*2r.

V=π2r3

I believe that is my final answer, please correct me if I'm wrong.

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#1
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volume of cylinder  =  π r2 h      , where  r = the radius  and  h = height .

diameter  =  2r  =  h

We want an equation that gives the volume of the cylinder for any value of  r . We want to be able to plug in a value for  r  and get out a value for the volume. So...use  2r  in place of  h .

volume of cylinder  =  π r2 (2r)

volume of cylinder  =  2π r3

You got it!! 👍

hectictar  Oct 12, 2017
edited by hectictar  Oct 12, 2017
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Yay!