Question

HELP ME PLEASE!
A cube has a volume of 216 cubic inches. Find the volume of a sphere that is inscribed in the cube. Round to the nearest tenth.

Answer 1

Answer:

113.10 cubic inches

Step-by-step explanation:

Let each side of cube be x inches

Volume of Cube= 216 inches³

We know volume of cube= Side³

Thus, x³=216 inches³

      =x=∛ 216

      =x= 6 inches

So each side is 6 inches

Thus we can say the diameter of sphere = 6 inches

Radius of sphere= 3 inches(r)

Volume of cube= 4/3 $\pi$ r³

                         = 4/3*22/7*27

                         = 113.14 inches³

So Volume is 113.097 inches³

Rounding it off to nearest 10 we get 113.10  inches³