A person is purchasing a new golf club bag. The compartment for the golf balls is approximately the shape of a rectangular prism with the dimensions of 8 inches by 11 inches by 5 inches. Assuming golf balls are spherical with a 1.68 inch diameter, how many golf balls should fit in the compartment bag?

Question

Mathematics

Martha Riggs

14 September, 18:43

A person is purchasing a new golf club bag. The compartment for the golf balls is approximately the shape of a rectangular prism with the dimensions of 8 inches by 11 inches by 5 inches. Assuming golf balls are spherical with a 1.68 inch diameter, how many golf balls should fit in the compartment bag?

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Answers (1)

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Kieran Gregory · Answer 1

The answer to your question is: 161 balls

Step-by-step explanation:

Data

rectangular prism = 8 in x 11 in x 5 in

diameter golf balls = 1.68 in radius = 1.68 / 2 = 0.84 in

Formula

Volume rectangular prism = l x w x h

Volume sphere = (4/3) π r³

Process

Volume rectangular prism = 8 x 11 x 5 = 400 in³

Volume balls = (4/3) (3.1416) (0.84) ³ = 2.48

# of balls in the compartment = volumen rectangular prism / volume balls

# of balls in the compartment = 400 / 2.48 = 161. 29