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

Question

asked Sep 26, 2020 183k views

1 Answer

Paresh Varde · Answer 1 · 2020-09-30T09:58:19+0000

Answer:

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