Question

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

A cylinder has a height of 2 x and a radius of x.

What expression represents the volume of the cylinder, in cubic units?
The height of a cylinder is twice the radius of its base.

A cylinder has a height of 2 x and a radius of x.

What expression represents the volume of the cylinder, in cubic units?

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`.