Question

the radius of a sphere is 6 units. which expression represents the volume of the sphere, in cubic units? $\frac{3}{4}pi(6)^{2}$ $\frac{4}{3}pi(6)^{3}$ $\frac{3}{4}pi(12)^{2}$ $\frac{4}{3}pi(12)^{3}$

Explanation:

Step1: Recall volume formula

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

Step2: Substitute radius value

Given that $r = 6$ units, substituting into the formula gives $V=\frac{4}{3}\pi(6)^{3}$.

Answer:

B. $\frac{4}{3}\pi(6)^{3}$