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

The Correct Option is B

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)