Question

Find the volume , in terms of pi, of a sphere if its surface area is 100 pi ft^2​

Answer 1

see explanation

Explanation:

To calculate volume (V) we require to find the radius r

Given SA = 100π, then

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

r² =
`(100\pi )/(4\pi )` = 25 ( take the square root of both sides )

r =
`√(25)` = 5

Hence

V =
`(4)/(3)`π × 5³

=
`(4)/(3)`π × 125

=
`(4(125))/(3)` π

=
`(500)/(3)` π ft³