Question

what is the volume of a sphere with a diameter of 3.2 m, rounded to the nearest tenth of a cubic meter?

Explanation:

Step1: Find the radius

The radius \(r\) of a sphere is half of the diameter \(d\). Given \(d = 3.2\) m, so \(r=\frac{d}{2}=\frac{3.2}{2}=1.6\) m.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 1.6\) into the formula:

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Answer:

\(17.1\) cubic meters