Find the volume of a sphere with a radius of 3 m. Use 3.14 as an approximation for pi. Round your answer to the nearest hundredth, if necessary.(1 point)

The volume is m3
m
3
.
its not 113.03

1 answer

To find 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 radius \( r = 3 \) m and using \( \pi \approx 3.14 \), we can calculate the volume as follows:

  1. Calculate \( r^3 \): \[ r^3 = 3^3 = 27 \]

  2. Plug the values into the volume formula: \[ V = \frac{4}{3} \times 3.14 \times 27 \]

  3. Calculate \( \frac{4}{3} \times 3.14 \): \[ \frac{4}{3} \times 3.14 \approx 4.1867 \]

  4. Multiply this by 27: \[ V \approx 4.1867 \times 27 \approx 113.04 \]

So, the volume of the sphere is approximately:

\[ \boxed{113.04} , \text{m}^3 \]

If this is not the answer you expected, please double-check the values and calculations.