An exercise ball has a radius of 15 inches.

What is the volume of the exercise ball?

8373.48

942

2,826

14,130

1 answer

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:

\[ \boxed{14,130} \]