Respuesta :

The volume of the sphere is 904.32 inch³.

Step-by-step explanation:

Step 1:

The given sphere has a diameter of 12 inches, so the radius is [tex]\frac{12}{2} = 6[/tex] m.The volume of a sphere is given by multiplying [tex]\frac{4}{3}[/tex] with π and the cube of the radius (r³).

The volume of a sphere, [tex]V = \frac{4}{3} \pi r^{3} .[/tex]

Step 2:

Here the radius is 6 inches. We take π as 3.14.

The volume of a full sphere, [tex]V = \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.14)(6^{3} ).[/tex]

[tex]\frac{4}{3} (3.14) (6^{3})= 904.32[/tex] in³ .

The volume of the sphere is 904.32 inch³, This is the third given option.

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