Respuesta :

Option B: Cubic meters is the unit measure of the volume of the sphere.

Explanation:

Given that the radius of the sphere is 2 meters.

We need to determine the unit measure of the volume of a sphere.

The volume of a sphere can be determined using the formula,

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

Substituting the radius [tex]r=2 \ m[/tex], we get,

[tex]V=\frac{4}{3} \pi (2 \ m)^3[/tex]

Simplifying, we get,

[tex]V=\frac{4}{3} \pi (8 \ m^3)[/tex]

Multiplying, we have,

[tex]V=\frac{32}{3} \pi \ m^3[/tex]

Thus, the volume of the sphere is [tex]\frac{32}{3} \pi \ m^3[/tex]

Hence, the unit of measure for the volume of the sphere with a radius of 2 meters is cubic meters.

Therefore, Option B is the correct answer.