find the volume of the sphere. either enter an exact answer in terms of π or use 3.14 for π.

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

The radius $r = 6$ from the given figure.

Step3: Calculate volume

Substitute $r = 6$ into the formula: $V=\frac{4}{3}\pi\times6^{3}=\frac{4}{3}\pi\times216 = 288\pi$. If we use $\pi = 3.14$, then $V=288\times3.14 = 904.32$.

Answer:

$288\pi$ or $904.32$ units³ (if using $\pi = 3.14$)