Question

what is the ratio of the volume of a cube to that of a sphere which will fit inside it ?

( I want step by step process and the correct answer is 11:21 )

Answer 1

Let the side of the cube be x.

Therefore, the diameter of the sphere which will fit inside it will be x.

Hence, radius of sphere = x/2

$\frac{volume_ {cube}}{volume_ {sphere}} = \frac{ \cancel{x}^{3} }{ \frac{4}{3} \pi \frac{\cancel{ {x}^{3}}}{2^3} } \\ \\ \frac{volume_{ cube}}{volume_ {sphere}} = \frac{3 \times 7\times 8}{4 \times 22} = \frac{11}{21}$

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@zaqwertyuioplm :)