Question

What is the radius of a cylinder with a volume of 432 pi cm^3 if the height of the cylinder is equal to its diameter?

Answer 1

the cylinder has a radius r and height 2r

then using the volume for\[V=\pi r^2h\]

\[432\pi = \pi r^2(2r)\]

or

\[432\pi = 2\pi r^3\]

divide by 2 pi

\[216 = r^3\]

you should be able to solve it from here

Answer 2

Ah! That's fantastic! Thank you soooo much!