Question

The largest sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.

Answer 1

The side of cube a = 10.5 cm.

Since, a largest sphere is curved out of that cube

i.e., radius of sphere,

`r = a/2`

`r= (10.5)/2 cm`

`r = 5.25 cm`

The volume of sphere

`= 4/3 pi (5.25)^3`

`=4/3 xx 22/7 xx 5.25 xx 5.25 xx 5.25`

` = 22 xx 0.75 xx 1.75 xx 21`

` = 606.375 cm^3`