Question

what is the volume of this sphere?
round your answer to the nearest hundredth.
4 in
cubic inches

Explanation:

Step1: Find the radius

The diameter \(d = 4\) inches. The radius \(r=\frac{d}{2}\), so \(r = \frac{4}{2}=2\) inches.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 2\) into the formula:

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Step3: Calculate the numerical value

Take \(\pi\approx3.14159\). Then \(V=\frac{32}{3}\times3.14159\approx33.51\) (rounded to the nearest hundredth).

Answer:

\(33.51\)