A sphere is inscribed inside a cube with edges of 6cm. In cubic centimeters, what is the volume of the sphere, in therms of pie?

Question

Mathematics

Quinn Gordon

29 October, 20:29

A sphere is inscribed inside a cube with edges of 6cm. In cubic centimeters, what is the volume of the sphere, in therms of pie?

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Tate · Answer 1

Since the sphere is inscribed in the cube of edges equal to 6 cm, this means that its radius is equal to 3 cm. The equation for the volume of sphere is,

V = 4πr³/3

Substituting,

V = (4/3) π (3 cm) ³

V = 36π cm³