+0  
 
+1
315
2
avatar+771 

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.

AdamTaurus  Oct 12, 2017
 #1
avatar+7096 
+1

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!! smiley👍

hectictar  Oct 12, 2017
edited by hectictar  Oct 12, 2017
 #2
avatar+771 
+1

Yay!

AdamTaurus  Oct 12, 2017

7 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.