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find the volume of this sphere. sphere formulas ( sa = 4pi r^{2} ) ( v=…

Question

find the volume of this sphere. sphere formulas ( sa = 4pi r^{2} ) ( v=\frac{4}{3}pi r^{3} ) ( v=\frac{squarepi}{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:

$$ LATEXBLOCK0 $$

Answer:

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