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=πr^{2}h.

I plugged in 2r for h.

V=πr^{2}(2r)

I multiplied r^{2}*2r.

V=π2r^{3}

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

AdamTaurus
Oct 12, 2017

#1**+1 **

volume of cylinder = π r^{2} 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 r^{2} (2r)

volume of cylinder = 2π r^{3}

You got it!! 👍

hectictar
Oct 12, 2017