Respuesta :

Answer:

[tex]288 \pi[/tex] [tex]inch^{3}[/tex]

Step-by-step explanation:

We are given a sphere having radius r = 6 inch.

It is required to find out the volume of the given sphere.

Substituting the value of 'r' in the formula of volume given below,

Volume of a sphere = [tex]\frac{4 \pi r^{3}}{3}[/tex]

i.e. Volume = [tex]\frac{4 \pi 6^{3}}{3}[/tex]

i.e. Volume = [tex]288\pi[/tex]

Hence, the volume of the sphere in terms of [tex]\pi[/tex] is [tex]288 \pi [/tex] [tex]inch^{3}[/tex].

abidemiokin

The volume of the sphere is [tex]288\pi in^3 [/tex]

Volume of a sphere

The formula for calculating the volume of a sphere is expressed as

  • [tex]V=\frac{4}{3}\pi r^3 [/tex]

Given that the diameter is 12in, the radius will be 6in

Substitute into the formula to have;

[tex]V=\frac{4}{3}\pi (6)^3 \\ V=\frac{4}{3}\pi \cdot 216\\ V=288\pi in^3 [/tex]

Hence the volume of the sphere is [tex]288\pi in^3 [/tex]

Learn more on volume of sphere here: https://brainly.com/question/10171109

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