Question

Ivan places a basketball with radius 4.75 in. inside a cube-shaped box with side length 9.5 in. How many cubic inches of packing foam does Ivan need to fill the empty space in the bo: Use 3.14 for , and round your answer to the nearest cubic inch

Answer 1

To find the volume of the empty space in the box, we need to subtract the volume of the basketball from the volume of the box.

Volume of the basketball = (4/3) * π * r^3

= (4/3) * 3.14 * (4.75 in)^3

Volume of the box = side length^3

= (9.5 in)^3

Empty space volume = Volume of the box - Volume of the basketball

Empty space volume = (9.5 in)^3 - (4/3) * 3.14 * (4.75 in)^3

Calculating this equation will give us the volume of the empty space in cubic inches. Rounding the answer to the nearest cubic inch will provide the amount of packing foam needed to fill the empty space.