Question

what is the weight of a bowling ball with a 5 in. radius if we know that one cubic inch weighs 1/100th of a pound? a) 9.86 lb. b) 6.54 lb. c) 10.99 lb. d) 5.24 lb.

Explanation:

Step1: Calculate the volume of the bowling ball

The volume formula for a sphere is \(V = \frac{4}{3}\pi r^{3}\). Given \(r = 5\) inches.

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Step2: Calculate the weight of the bowling ball

Since one cubic - inch weighs \(\frac{1}{100}\) of a pound.
Weight \(W=V\times\frac{1}{100}\)
Substitute \(V\approx523.33\) into the formula:
\(W = 523.33\times\frac{1}{100}=5.2333\approx5.24\) pounds

Answer:

D. \(5.24\) lb.