Question

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

Answer 1

≈ 14.14 cm³

Explanation:

First find the side length of the cube.

V=S³

27=S³

∛27=∛s³

3=S

Then the volume of the sphere.

V=
`(4)/(3)` × π(pi) × r³(radius cubed)

V=
`(4)/(3)` × π(pi) × (1.5³)

=
`(9)/(2)`π cm³ ≈ 14.14 cm³