Question

the radius of a sphere is 3 inches. which represents the volume of the sphere? 12π cubic inches 36π cubic inches 64π cubic inches 81π cubic inches

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$.

Step2: Substitute radius value

Given $r = 3$ inches, substitute into the formula: $V=\frac{4}{3}\pi\times(3)^{3}$.

Step3: Calculate the value

First, $(3)^{3}=3\times3\times3 = 27$. Then $\frac{4}{3}\times27 = 36$. So $V = 36\pi$ cubic - inches.

Answer:

36π cubic inches