Question

An exercise ball has a radius of 15 inches.

What is the volume of the exercise ball?


8373.48


942


2,826


14,130

Answer 1

To find the volume of a sphere, we can use the formula:

\[
V = \frac{4}{3} \pi r^3
\]

where \( V \) is the volume and \( r \) is the radius.

Given the radius \( r = 15 \) inches, we can plug in the value:

\[
V = \frac{4}{3} \pi (15)^3
\]

Calculating \( (15)^3 \):

\[
15^3 = 3375
\]

Now substitute back into the volume formula:

\[
V = \frac{4}{3} \pi (3375)
\]

Now, multiplying \( \frac{4}{3} \) by \( 3375 \):

\[
V = \frac{13500}{3} \pi = 4500 \pi
\]

Now, using \( \pi \approx 3.14 \):

\[
V \approx 4500 \times 3.14 = 14130
\]

Thus, the volume of the exercise ball is approximately:

\[
\boxed{14,130}
\]