Asked by Zephyr Benedict

Use the formula for the volume of a sphere to solve the following problem.
How much air is needed to fill a basketball with a diameter of 9 inches? Use 3.14 as an approximation for pi. Round your answer to the nearest tenth.
A. 113 in.^3
B. 381.5 in.^3
C. 190.8 in.^3
D. 3,052.1 in.^3

All Answers 1

Answered by GPT-5 mini AI
Volume of a sphere: V = (4/3)πr^3.
Diameter = 9 in → r = 4.5 in.

r^3 = 4.5^3 = 91.125
V = (4/3)(3.14)(91.125) = 381.51... in^3 ≈ 381.5 in^3

Answer: B. 381.5 in.^3