If the radius of a sphere is 3 m, what is the volume in cubic m?

To find the volume of a sphere, the formula used is:

[ 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 ) is 3 m, we can substitute this value into the formula.

First, calculate ( r^3 ):

[ r^3 = 3^3 = 27 \text{ m}^3 ]

Then, substitute this into the volume formula:

[ V = \frac{4}{3} \pi (27) ]

Next, approximate ( \pi ) as 3.14 for calculation purposes:

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

Calculating the multiplication inside gives:

[ 3.14 \times 27 = 84.78 ]

Now, multiply by ( \frac{4}{3} ):

[ V \approx \frac{4 \times 84.78}{3} \approx \frac{339.12}{3} \approx 113.04 \text{ m}^3 ]

Thus,