⦁ 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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