Question

3 in
8 in
18 in

1. what is the volume of the hemisphere?

13 km

Explanation:

Step1: Recall hemisphere volume formula

The volume of a hemisphere is half the volume of a full sphere, so the formula is $V = \frac{2}{3}\pi r^3$, where $r$ is the radius.

Step2: Substitute radius value

The given radius $r = 13$ km. Substitute into the formula:
$V = \frac{2}{3}\pi (13)^3$

Step3: Calculate $13^3$

$13^3 = 13\times13\times13 = 2197$

Step4: Compute final volume

$V = \frac{2}{3}\pi \times 2197 = \frac{4394}{3}\pi \approx 4602.67$

Answer:

The volume of the hemisphere is $\frac{4394}{3}\pi$ cubic kilometers (or approximately $4602.7$ cubic kilometers).