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Nastasia [14]
3 years ago
13

⦁ A sphere is inscribed in a cube with a volume of 27 cm3. What is the volume of the sphere?

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer:

≈ 14.14 cm³

Step-by-step explanation:

First find the side length of the cube.

V=S³

27=S³

∛27=∛s³

3=S

Then the volume of the sphere.

V=\frac{4}{3} × π(pi) × r³(radius cubed)

V=\frac{4}{3} × π(pi) × (1.5³)

 =\frac{9}{2}π cm³ ≈ 14.14 cm³

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