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)
Responses

381.5 in.3

381.5 inches cubed

190.8 in.3

190.8 inches cubed

113 in.3

113 inches cubed

3,052.1 in.3

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... in^3

Rounded to the nearest tenth: 381.5 in.^3.