Question

calculate the volume of the sphere using 31.4 for pi and round to the nearest tenth

radius = 2

____ cm^3

Answer 1

To calculate the volume \( V \) of a sphere, you can use the formula:

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

Given that the radius \( r = 2 \) cm and using \( \pi \approx 31.4 \), we can substitute the values into the formula:

1. Calculate \( r^3 \):
\[
r^3 = 2^3 = 8
\]

2. Substitute \( r^3 \) into the volume formula:
\[
V = \frac{4}{3} \times 31.4 \times 8
\]

3. Calculate \( \frac{4}{3} \times 31.4 \):
\[
\frac{4}{3} \times 31.4 \approx 41.8667
\]

4. Now multiply by 8:
\[
V \approx 41.8667 \times 8 \approx 334.9333
\]

5. Rounding to the nearest tenth:
\[
V \approx 334.9 \, \text{cm}^3
\]

Thus, the volume of the sphere is approximately **334.9 cm³**.