Question

what is the volume of a sphere with a diameter of 57.1 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 \(d = 57.1\) cm, so \(r=\frac{d}{2}=\frac{57.1}{2}=28.55\) cm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 28.55\) into the formula:

$$
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$$

Step3: Round to the nearest tenth

Rounding \(97569.9923\) to the nearest tenth gives \(97570.0\)

Answer:

\(97570.0\) cubic centimeters