Question

what is the volume of a sphere with a diameter of 7.5 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 \(d = 7.5\) cm, so \(r=\frac{d}{2}=\frac{7.5}{2}=3.75\) cm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 3.75\) into the formula:

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Take \(\pi\approx3.14159\), then \(V=70.3125\times3.14159\approx220.8\)

Answer:

\(220.8\) cubic centimeters