Question

Find the surface area ( in terms of pi) of a sphere if it's volume is 36pi ft^3.

Some explanation would be greatly appreciated along with the answer!

Answer 1

Hope this helps you....!!!

Answer 2

Answer with Step-by-step explanation:

Volume of sphere=
`(4)/(3)\pi\ r^3`

`(4)/(3)\pi\ r^3= 36\pi`

Dividing by 4π on both sides, we get

`(1)/(3)r^3= 9`

Multiplying by 3 on both sides, we get

`r^3=27\\\\r^3=3^3\\\\r=3`

Hence, radius of sphere is 3 ft

Surface Area of sphere= 4πr²

=4×π×3²

= 36π ft²

Hence, surface Area of sphere is:

36π ft²