Question

Help me with this pleaae

Answer 1

(D) 30pi inches

Explanation:

First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.

`volume = \pi r^2 h`

`volume = 6750 \pi~in.^3`

We set the formula equal to the volume and replace h with 30 in.

`\pi r^2 h = 6750 \pi~in.^3`

`\pi r^2 * 30 ~in. = 6750 \pi~in.^3`

Divide both sides by 30pi in.

`r^2 = 225 ~in.^2`

Take the square root of each side.

`√(r^2) = √(225 ~in.^2)`

`r = 15~in.`

The radius of the base is 15 in.

Now we use the radius of the base and the formula of the circumference of a circle to find the answer.

`circumference = 2 \pi r`

`circumference = 2 \pi * 15~in.`

`circumference = 30 \pi ~in.`