please help

Find the volume of the sphere. Express your answer in terms of π.



A: 2,916π cm3


B: 972π cm3


C: 108π cm3


D: 324π cm3

please helpFind the volume of the sphere Express your answer in terms of πA 2916π cm3B 972π cm3C 108π cm3D 324π cm3 class=

Respuesta :

Given:

Given that the radius of the sphere is 9 cm

We need to determine the volume of the sphere.

Volume of the sphere:

Let us determine the volume of the sphere.

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

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

where r is the radius of the sphere.

Substituting r = 9 in the above formula, we get;

[tex]V=\frac{4}{3} \pi (9)^3[/tex]

[tex]V=\frac{4}{3} \pi (729)[/tex]

[tex]V=\frac{2916}{3} \pi[/tex]

[tex]V=972 \pi[/tex]

Thus, the volume of the sphere is 972π cm³

Hence, Option B is the correct answer.