A metal cylinder of base 5 cm and height 12 cm is melted to make n solid cones of height 1 cm and ba

A metal cylinder of base 5 cm and height 12 cm is melted to make n solid cones of height 1 cm and base radius 1 mm.
What is the value of n?

Solution -

The volume of the cylinder must be equal to the volume of n cones
Volume of the cylinder V = pi x 5^2 x 12
Volume of n cones V = n x (pi x 0,1^2 x 1)/ 3
Then,
pi x 25 x 12 = n x (pi x 0,01 x 1)/3
n = 90000 cones