Question

Please help me out please

Answer 1

`(500\pi )/(3)` ft³

Explanation:

The surface area of a sphere = 4πr², hence

4πr² = 100π ( divide both sides by 4π )

r² = 25 ( take the square root of both sides )

r =
`√(25)` = 5, hence

V =
`(4)/(3)`πr³

=
`(4)/(3)`π × 5³

=
`(4)/(3)`π × 125 =
`(500\pi )/(3)` ft³

Answer 2

(500π)÷3

Explanation:

area=4πr^2 , volume=4(πr^3)÷3

area=100π ,so r=5