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Dimas [21]
3 years ago
9

What is the volume of the sphere? (Use 3.14 for π.) 301.44 in.3 2,712.96 in.3 904.32 in.3 1,521.12 in.3

Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

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 \frac{12}{2} = 6 m.The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

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

Step 2:

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

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

\frac{4}{3} (3.14) (6^{3})= 904.32 in³ .

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

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