Question

find the volume of this sphere.
sphere formulas
$sa = 4\pi r^{2}$
$v = \frac{4}{3}\pi r^{3}$
$v = \frac{?\pi}{3} cm^{3}$

Explanation:

Step1: Find the radius

The diameter is \(10\) cm, so the radius \(r=\frac{10}{2} = 5\) cm.

Step2: Substitute into the volume formula

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 5\) into the formula:

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Answer:

\(\frac{500}{3}\pi\)