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 given radius

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

Answer:

$\frac{4}{3}\pi(6)^{3}$ (the second option)