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43 votes
43 votes
Reagan just received a new soccer ball that she ordered in the mail. The spherical soccer ball

arrived in a box shaped like a rectangular prism, and the remaining space inside the box was

filled by packing material. The box is 14 inches long, 11 inches wide, and 10 inches tall. If the

soccer ball has a diameter of 8.7 inches, what was the volume of space in the box filled by

packing material?

User GunJack
by
2.9k points

1 Answer

11 votes
11 votes

Answer:

1540 square in-17.4π in

Explanation:

The box's area is 1540 square inches, and the volume of a sphere is 4πr. So we do 4*π*r, which is 4π*4.35, and simplify it to 17.4π. Then we subtract that from the 1540 square in to get the final answer of 1540-17.4π

Reference: π is approximately 3.1415926

User Marvette
by
3.1k points