Question

Can someone help me?

Answer 1

`\large\boxed{18,432\pi\ yd^3}`

Explanation:

The formula of a surface area of a sphere:

`S.A.=4\pi R^2`

We have Surface Area:

`S.A.=2,304\pi\ yd^2`

Substitute:

`4\pi R^2=2,304\pi\qquad\text{divide both sides by}\ 4\pi\\\\R^2=(2,304\pi)/(4\pi)\\\\R^2=576\to R=√(576)\\\\R=24\ yd`

The formula of a volume of a sphere:

`V=(4)/(3)\pi R^3`

Substitute:

`V=(4)/(3)\pi(24)^3=(4)/(3)\pi(13,824)=4\pi(4,608)=18,432\pi\ yd^3`