Respuesta :

The volume formula for a sphere is [tex] V=\frac{4}{3}\pi r^3 [/tex]. If the radius is 9 units, we make the replacement accordingly. [tex] V=\frac{4}{3}\pi (9)^3 [/tex]. 9 cubed is 729, so the formula now is [tex] V=\frac{4}{3}\pi (729) [/tex]. Multiplying 729 by 4 and then dividing by 3 gives us the volume, in terms of pi, to be [tex] V=972\pi units^3 [/tex]

The volume of the sphere is 3053.62 cubic units if the sphere with a radius of nine units.

What is a sphere?

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

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

We have the radius of the sphere r = 9 units

Volume:

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

Plug r = 9

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

V = 3053.62 cubic units

Thus, the volume of the sphere is 3053.62 cubic units if the sphere with a radius of nine units.

Learn more about the sphere here:

brainly.com/question/11374994

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