Question

on the back!

1. according to the international tennis federation, the diameter of a standard tennis ball is 2.6 inches. what is the volume of a standard tennis ball? use 3.14 for π, and round to the nearest hundredth.

Explanation:

Step1: Find the radius

The formula for the radius \(r\) of a circle is \(r=\frac{d}{2}\), where \(d\) is the diameter. Given \(d = 2.6\) inches, then \(r=\frac{2.6}{2}=1.3\) inches.

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 1.3\) inches and \(\pi=3.14\) into the formula:

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First, calculate \(3.14\times2.197 = 6.90858\). Then \(V=\frac{4\times6.90858}{3}\).
\(4\times6.90858 = 27.63432\). So \(V=\frac{27.63432}{3}=9.21144\approx9.21\) (rounded to the nearest hundredth).

Answer:

\(9.21\) cubic inches