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