Find the volume (in terms of pi) of a sphere of its surface area is 400 pi ft2

Question

asked Mar 24, 2019 168k views

2 Answers

Cymbals · Answer 1 · 2019-03-27T14:32:07+0000

Answer:
$1333.33\pi\ ft.^3$

Explanation:

The surface area of sphere is given by :-

$S.A=4\pi r^2$ , where r is radius of sphere.

Given : Surface area of sphere =
$400 \pi \ft2$

$\\\Rightarrow 400 \pi =4\pi r^2\\\\\Rightarrow\ r^2=(400)/(4)=100\text{ ft.}$

The volume of sphere is given by :-

$V=(4)/(3)\pi r^3\\\\\Rightarrow\ V=(4)/(3)\pi (100)^3\\\\\Rightarrow\ V=(4000)/(3)\pi=1333.33333\approx1333.33\pi\ ft.^3$