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.

Respuesta :

Answer:

Volume =36π sq in

Step-by-step explanation:

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

[tex]A=4\pi r^2\\\\113.04=4\pi r^2\\\\r=\sqrt{\frac{113.04}{4\pi}}\\\\=3\ in[/tex]

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

[tex]V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 3^3\\\\=36\pi[/tex]

Hence, the ballon's volume is 36 π