the radius of a sphere is 3 inches. which represents the volume of the sphere?\n12π cubic inches\n36π cubic…

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume of a sphere is (V=\frac{4}{3}\pi r^{3}), where (r) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given (r = 3) inches. Substitute (r=3) into (V=\frac{4}{3}\pi r^{3}): [ \begin{align*} V&=\frac{4}{3}\pi\times(3)^{3}\ &=\frac{4}{3}\pi\times27\ &=4\pi\times9\ & = 36\pi \end{align*} ]

Answer:

(36\pi) cubic inches (the second option)