Question

12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is

पर्याय

• \[\sqrt{3}\] cm

• 2cm

• 3cm

• 4cm

Answer 1

The volume of solid cylinder = 12 × volume of one sphere

`pi xx (8)^2 xx 2 = 12 xx 4/3 pi r^3`

               `128=16r^3`

                  `r^3 = 128/16`

`r = 3sqrt(64/8)`

`=4/2`

`r = 2 cm`

The required diameter d = 2 × 2 = 4 cm