Question

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

Answer 1

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Answer 2

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`