Question

what is the volume of the sphere below? a. 12π units³ b. 81π units³ c. 27π units³ d. 36π units³

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: Identify radius value

From the image, the radius $r = 3$.

Step3: Substitute and calculate

Substitute $r = 3$ into the formula: $V=\frac{4}{3}\pi(3)^{3}=\frac{4}{3}\pi\times27 = 36\pi$ units$^{3}$.

Answer:

D. $36\pi$ units$^{3}$