Question

a cube of side 5cm contain a sphere toughing side find the volume of gap between

Answer 1

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Side of Cube = Diameter of Sphere

So , radius of sphere = 5/2 cm

Volume of cube = 5³ = 125 cm³

Volume of sphere =
$\frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times \pi \times ( { \frac{5}{2}) }^{3} \\ \\ = \frac{1375}{21}$

Volume of gap between = 125 - 1375/21

= ( 2625 - 1375 )/ 21

= 1250/21 cm³

= 59.523 cm³