Question

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.

(1 point)

3,052.1 in.3


190.8 in.3


113 in.3


381.5 in.3

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Answer 1

Volume of a sphere: V = (4/3)πr^3. Here r = 9/2 = 4.5 in.

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

Answer: 381.5 in.^3.