Question

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

What expression represents the volume of the cylinder, in
cubic units?
1 47x²

Answer 1

The expression representing the volume of the cylinder is

`44x^(3)`/7 cubic units

Explanation:

In this question, we are tasked with finding an expression that represents the volume of a cylinder given the condition that the height of the cylinder is twice the radius of its base.

Now, let's say the radius of the base of the cylinder is x, since the height is twice it, the value of the height h will be 2x

Mathematically, the volume of a cylinder can be calculated using the formula

V = π ×
`r^(2)`×h

where r and h represents the radius of the base and height respectively. Plugging the values, we have;

V = π ×
`(x)^(2)` × 2
`x`

V = 22/7 ×
`x^(2)`× 2
`x`

V =
`44x^(3)`/7 cubic units