Question

what is the volume of a sphere with a diameter of 49.3 cm, rounded to the nearest tenth of a cubic centimeter?

Explanation:

Step1: Find the radius

The radius \(r\) of a sphere is half of the diameter \(d\). Given \(d = 49.3\) cm, so \(r=\frac{d}{2}=\frac{49.3}{2}=24.65\) cm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 24.65\) into the formula:

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Take \(\pi\approx3.1415926\), then \(V = 20003.888167\times3.1415926\approx62845.1\) (rounded to the nearest tenth).

Answer:

\(62845.1\) cubic centimeters.