Question
calculate the volume of the sphere using 3.14 for pi and round to the nearest tenth with the height of the sphere being 12 cm
Answers
GPT-4o mini
To calculate the volume of a sphere, you can use the formula:
\[
V = \frac{4}{3} \pi r^3
\]
Where \( V \) is the volume and \( r \) is the radius of the sphere. Given that the height of the sphere is 12 cm, the radius \( r \) is half of the height:
\[
r = \frac{12 \text{ cm}}{2} = 6 \text{ cm}
\]
Now, substituting \( r \) into the volume formula and using \( \pi \approx 3.14 \):
\[
V = \frac{4}{3} \times 3.14 \times (6)^3
\]
\[
V = \frac{4}{3} \times 3.14 \times 216
\]
\[
V = \frac{4 \times 3.14 \times 216}{3}
\]
\[
V = \frac{2714.88}{3}
\]
\[
V \approx 904.96
\]
Rounding to the nearest tenth:
\[
V \approx 905.0 \text{ cm}^3
\]
Therefore, the volume of the sphere is approximately **905.0 cm³**.
\[
V = \frac{4}{3} \pi r^3
\]
Where \( V \) is the volume and \( r \) is the radius of the sphere. Given that the height of the sphere is 12 cm, the radius \( r \) is half of the height:
\[
r = \frac{12 \text{ cm}}{2} = 6 \text{ cm}
\]
Now, substituting \( r \) into the volume formula and using \( \pi \approx 3.14 \):
\[
V = \frac{4}{3} \times 3.14 \times (6)^3
\]
\[
V = \frac{4}{3} \times 3.14 \times 216
\]
\[
V = \frac{4 \times 3.14 \times 216}{3}
\]
\[
V = \frac{2714.88}{3}
\]
\[
V \approx 904.96
\]
Rounding to the nearest tenth:
\[
V \approx 905.0 \text{ cm}^3
\]
Therefore, the volume of the sphere is approximately **905.0 cm³**.