Question:

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

Updated On: Oct 10, 2024
  • 3:4
  • 21:11
  • 11:22
  • 4:3
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The Correct Option is B

Solution and Explanation

Volume of Cube
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)
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