Question

page 7 of 7 Volume of a Sphere Quick Check 4 of 54 of 5 Items Question You purchase a soccer ball that at full capacity measures 8 inches in diameter. How much air can the ball hold if it is pumped to full capacity? Calculate using 3.14 for pi and round to the nearest whole number.(1 point) Responses 268 inches3 268 inches cubed 2,144 inches3 2,144 inches cubed 67 inches3 67 inches cubed 50 inches3 50 inches cubed Skip to navigation

Answer 1

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

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

where \( r \) is the radius of the sphere.

Given that the diameter of the soccer ball is 8 inches, the radius \( r \) is half of the diameter:

\[
r = \frac{8}{2} = 4 \text{ inches}
\]

Now you can substitute the radius and \( \pi \) (which is given as 3.14) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times (4)^3
\]

Calculating \( 4^3 \):

\[
4^3 = 64
\]

Now substitute back into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 64
\]

Calculating it step-by-step:

1. Multiply \( 3.14 \) by \( 64 \):
\[
3.14 \times 64 = 200.96
\]

2. Now calculate \( \frac{4}{3} \times 200.96 \):
\[
\frac{4}{3} \times 200.96 \approx 267.95
\]

Rounding \( 267.95 \) to the nearest whole number gives you \( 268 \).

Thus, the volume of air that the soccer ball can hold is approximately:

**268 inches³** (or **268 inches cubed**).