Question

A magic 8-ball has a diameter of 5 inches. It is filled 85% full with blue water. How much space is occupied by the water?

Answer 1

42.7 in^3 of the interior space is occupied by blue water

Explanation:

1. Find the volume of the ball.

2. Take 85% of this volume.

Volume of a sphere: V = (4/3)(pi)(radius)^3

Here this volume is V = (4/3)(3.14)(125 in^3), or 50.24 in^3

85% of this volume is 0.85(50.24 in^3) = 42.7 in^3

42.7 in^3 of the interior space is occupied by blue water.