A solid metal cone with base radius of 12 cm and height 24 cm is melte

1.	A solid metal cone with base radius of 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. Find the number of balls thus formed.
Answer» Let the number of balls formed are n As per statement, Volume of metal cone = Total volume of n spherical balls Volume of cone = n(Volume of any spherical ball) 1/3 π r² h = n (4/3 π r³) 12² x 24 = n x 108 or n = 32 Therefore, 32 spherical balls can be formed.

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

Answer»

Let the number of balls formed are n

As per statement,

Volume of metal cone = Total volume of n spherical balls

Volume of cone = n(Volume of any spherical ball)

1/3 π r² h = n (4/3 π r³)

12² x 24 = n x 108

or n = 32

Therefore, 32 spherical balls can be formed.