Question
The radius of a soccer ball is 4 inches. Approximately what volume of air can it hold? Use 3.14 for Pi. Round to the nearest tenth of a cubic inch.
Recall the formula V = four-thirds pi r cubed.
Recall the formula V = four-thirds pi r cubed.
Answers
GPT-4o mini
To calculate the volume of the soccer ball using the formula \( V = \frac{4}{3} \pi r^3 \), we will substitute \( \pi \) with 3.14 and the radius \( r \) with 4 inches.
1. First, calculate \( r^3 \):
\[
r^3 = 4^3 = 4 \times 4 \times 4 = 64
\]
2. Next, substitute \( r^3 \) into the volume formula:
\[
V = \frac{4}{3} \times 3.14 \times 64
\]
3. Calculate \( \frac{4}{3} \times 64 \):
\[
\frac{4 \times 64}{3} = \frac{256}{3} \approx 85.3333
\]
4. Now, multiply this result by 3.14:
\[
V \approx 85.3333 \times 3.14 \approx 267.9991
\]
5. Finally, round to the nearest tenth:
\[
V \approx 268.0
\]
Thus, the volume of air that the soccer ball can hold is approximately **268.0 cubic inches**.
1. First, calculate \( r^3 \):
\[
r^3 = 4^3 = 4 \times 4 \times 4 = 64
\]
2. Next, substitute \( r^3 \) into the volume formula:
\[
V = \frac{4}{3} \times 3.14 \times 64
\]
3. Calculate \( \frac{4}{3} \times 64 \):
\[
\frac{4 \times 64}{3} = \frac{256}{3} \approx 85.3333
\]
4. Now, multiply this result by 3.14:
\[
V \approx 85.3333 \times 3.14 \approx 267.9991
\]
5. Finally, round to the nearest tenth:
\[
V \approx 268.0
\]
Thus, the volume of air that the soccer ball can hold is approximately **268.0 cubic inches**.