A basketball with a diameter of 9.5 in. is placed in a cubic box with sides 12 in. long. How many cubic inches of packing foam are needed to fill

the rest of the box? Round to the nearest tenth.

packing foam needed =

volume of packing foam to fill the rest of the box = 1279.31 inches³

Step-by-step explanation:

The basket ball is a sphere

volume of the ball = 4/3πr³

r = 9.5/2 = 4.75 inches

volume of the ball = 4/3πr³

volume of the ball = 4/3 * 3.14 * 4.75³

volume of the ball = 4/3 * 3.14 * 107.171875

volume of the ball = 1346.0787500/3

volume of the ball = 448.69291667 inches³

The volume of the box

volume of box = L³

where

L = 12 inches

volume of box = L³

volume of box = 12³

volume of box = 1728 inches³

volume of box = L³

The volume of empty space to fill the foam is the difference of the volumes.

= 1728 inches³ - 448.69291667 inches³

volume of packing foam to fill the rest of the box = 1279.31 inches³