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
.

1 answer

The formula for the volume \( V \) of a sphere is given by:

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

Where \( r \) is the radius of the sphere. In this case, the radius \( r = 3 \) m, and we will use \( \pi \approx 3.14 \).

Now, substituting the values into the formula:

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

Calculating \( (3)^3 \):

\[ (3)^3 = 27 \]

Now substituting that back into the volume formula:

\[ V = \frac{4}{3} \times 3.14 \times 27 \]

Calculating \( \frac{4}{3} \times 3.14 \):

\[ \frac{4}{3} \times 3.14 \approx 4.1867 \]

Now multiply that by 27:

\[ V \approx 4.1867 \times 27 \approx 113.03 \]

So, the volume of the sphere is approximately:

\[ V \approx 113.03 \text{ m}^3 \]

Thus, the volume is 113.03 m³.