Question

what is the volume of a sphere with a diameter of 43.5 cm, rounded to the nearest tenth of a cubic centimeter? answer attempt 1 out of a cm³

Explanation:

Step1: Find the radius

The radius \(r\) of a sphere is half of the diameter \(d\). Given \(d = 43.5\) cm, so \(r=\frac{d}{2}=\frac{43.5}{2}=21.75\) cm.

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 21.75\) into the formula:

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Using \(\pi\approx3.14159\), we have \(V=\frac{41440.875\times3.14159}{3}\)

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Rounding \(43431.5923\) to the nearest tenth gives \(V\approx43431.6\)

Answer:

\(43431.6\)