Question

The height of a cylinder is twice the radius of its base.

Answer 1

Let x represent radius of circle.

We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be $2x$.

Now we will use volume of cylinder formula to our given problem.

$V=\pi r^2h$, where,

r = Radius of base of cylinder,

h = Height of cylinder.

Upon substituting our given values, we will get:

$V=\pi\cdot x^2\cdot 2x$

$V=2x^3\pi$

Therefore, our required volume expression would be $2x^3\pi$.