Question

3.Find the ratio of the volume of a cube to that of the sphere which fits inside that cube.​

Answer 1

Answer:

6: π

Step-by-step explanation:

cube vol = A^3

sphere vol = 4/3π R^3

where R,here is,A/2

cube vol / sphere vol

A^3 / 4/3 π {A / 2}^3

sloving the above,

6 : π

Answer 2

Answer:

6/π

Step-by-step explanation:

let cube side be a

so volume of cube is

${a}^{3}$

now the sphere which fits inside cube will have diameter which is equal to the side of the cube

volume of sphere =

$\frac{4}{3} \pi( \frac{a}{2} )^{3}$

taking the ratio we will get

6/π