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 $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius.

Step2: Substitute radius value

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

Step3: Calculate the volume

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

Answer:

36π cubic inches