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

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: Identify radius value

The radius $r = 7$ from the given diagram.

Step3: Substitute radius into formula

$V=\frac{4}{3}\pi\times(7)^{3}=\frac{4}{3}\pi\times343=\frac{1372\pi}{3}$. If we use $\pi = 3.14$, then $V=\frac{4}{3}\times3.14\times343=\frac{4\times3.14\times343}{3}=\frac{4308.08}{3}\approx1436.03$.

Answer:

Exact answer: $\frac{1372\pi}{3}$ units³; Approximate answer: $1436.03$ units³