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.
I think volume of a circular cylinder is V=πr2h.
I plugged in 2r for h.
I multiplied r2*2r.
I believe that is my final answer, please correct me if I'm wrong.
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!! 👍