Question

The ratio of the volume of a cube to that of the sphere which can fit inside the cube is

• A. 3:4
• B. 21:11
• C. 11:22
• D. 4:3

Answer 1

Answer: (B)

21:11

Answer 2

Let the each side of cube be S and radius of sphere be r
Volume of cube = S3
According to question
r = $\frac{S}{2}$ = $\frac{Volume of cube}{Volume of sphere}$ = $\frac{S^3}{\frac{4}{3} × \frac{22}{7} × \frac{x^3}{8}}$ = $\frac{21}{11}$
So the correct option is (B)