Question

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

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

O 47x2

2nx OTX2 2x 2 TX

Answer 1

Answer:
`2\pi x^3`

Explanation:

For this exercise you need to remember that the volume of a cylinder can be calculated using the following formula:

`V_(cylinder)=\pi r^2h`

Where "r" is the radius and "h" is the height of the cylinder.

Let "x" represents the radius of the base of the cylinder and "y" the height of the cylinder.

Keeping the information given on mind, you can write the following expression:

`\pi x^2y`

According to the information given in the exercise, you know that the height of this cylinder is twice the radius of its base. Then:

`y=2x`

Therefore, if you substitute that into the first expression and simplify, you get the following expression that represents the volume of the cylinder in cubic units:

`\pi x^2(2x)=2\pi x^3`