Answer:
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