Question

what is the volume of a hemisphere with a diameter of 47.7 in, rounded to the nearest tenth of a cubic inch?

Explanation:

Step1: Find the radius

The radius \(r\) of a sphere is half of the diameter \(d\). Given \(d = 47.7\) in, then \(r=\frac{d}{2}=\frac{47.7}{2}=23.85\) in.

Step2: Use the formula for the volume of a hemisphere

The formula for the volume \(V\) of a hemisphere is \(V=\frac{2}{3}\pi r^{3}\).
Substitute \(r = 23.85\) into the formula:

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Answer:

\(28313.5\) cubic inches