Question

A spherical-shaped water balloon has a surface area of 113.04 square inches. How many cubic inches of water will the balloon hold? Express your answer in terms of π.

Answer 1

Volume =36π sq in

Explanation:

-We use the surface area formula to calculate the balloon's radius:

`A=4\pi r^2\\\\113.04=4\pi r^2\\\\r=\sqrt{(113.04)/(4\pi)}\\\\=3\ in`

#We then use this radius to calculate the volume as follows:

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

Hence, the ballon's volume is 36 π