Question

A metallic cone of radius 12 cm and height 24 cm is melted and made into spheres of radius 2 cm each. How many spheres are formed?

Answer 1

We have,

Radius of the metallic cone, r = 12 cm,

Height of the metallic cone, h = 24 cm and 

Radiusof the sphere, R = 2 cm

Now,

The number of spheres so formed`= "Volume of the metallic cone"/"Volume of a sphere" `

`= ((1/3pi"r"^2"h"))/((4/3pi"R"^3))`

`= ("r"^2"h")/(4"R"^3)`

`=(12xx12xx24)/(4xx2xx2xx2)`

= 108

So, the number of spheres so formed is 108.