Question

how many cubic inches of material do you need to make a solid rubber ball with a diameter of 3 in.? round your answer to two decimal places. a) 19.27 cu in. b) 14.14 cu in. c) 1.77 cu in. d) 4.71 cu in.

Explanation:

Step1: Find the radius

The radius \(r\) of a sphere is half of the diameter. Given diameter \(d = 3\) in, so \(r=\frac{d}{2}=\frac{3}{2}=1.5\) in.

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 1.5\) into the formula:

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Rounding \(14.137155\) to two decimal places gives \(14.14\).

Answer:

B) \(14.14\) cu in.