Question

1. find the volume of the sphere.

6 mi
answer:

Explanation:

Step1: Recall the formula for the volume of a sphere

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

Step2: Identify the radius of the sphere

From the diagram, the radius \( r = 6\) mi.

Step3: Substitute the radius into the formula

\( V=\frac{4}{3}\pi(6)^{3} \)
First, calculate \( 6^{3}=6\times6\times6 = 216 \).
Then, \( \frac{4}{3}\times216=4\times72 = 288 \).
So, \( V = 288\pi \) cubic miles. If we use \( \pi\approx3.14 \), then \( V\approx288\times3.14 = 904.32 \) cubic miles.

Answer:

If we leave it in terms of \( \pi \), the volume is \( 288\pi \) cubic miles (or approximately \( 904.32 \) cubic miles).