What is the volume of a sphere with a radius of 6 m?

To determine 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.

In this case, the radius ( r ) is 6 meters. First, you calculate the cube of the radius:

[ r^3 = 6^3 = 216 , \text{m}^3 ]

Next, you plug this value into the volume formula:

[ V = \frac{4}{3} \pi (216) ]

Calculating this gives:

[ V = \frac{4 \times 3.14159 \times 216}{3} ]

[ V = \frac{4 \times 678.58}{3} ]

[ V = \frac{2714.32}{3} ]

[ V = 904.32 , \text{m}^3 ]

So the correct answer for the volume of the sphere with a radius of 6 meters is 904.32 cubic meters. This value represents a substantial volume, confirming the sphere's size.

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