Question

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

Answer 1

Radius of cone = 12 cm

Height of cone = 24 cm

Volume of the metallic cone`=1/3pi"r"^2"h"`

`=1/3pixx(12)^2xx24`

Radius of spherical ball `=6/2 "cm" = 3  "cm"`

Volume of each spherical ball `=4/3pi"r"^3`

`=4/3pixx(3)^3`

Number of balls formed`= "Volume of the metallic cone"/"Volume of each spherical ball"`

`=(pixx12xx12xx24xx3)/(3xx4xxpixx3xx3xx3)`

= 32