A solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. The number of balls formed is

For solid metal cone,


Height, h = 24 cm


Base radius, b = 12 cm


We know,



Where r is base radius and h is the height of cone.


Putting the values,



For a solid spherical ball,


Diameter = 6 cm


Radius, r = 3 cm


We know,



Where, r is radius of sphere.


Putting the values, we have




On solving, we get


No of balls = 32

8