Question
Tue March 05, 2013 By:
 

a solid metal cone with radius of base 12 cm andheight 24cm is melted to form solid spherical balls of diameter 6cm each.find the number of balls formed?

Expert Reply
Tue March 05, 2013
Let n number of balls be formed.
Since the metal cone is melted to form spherical balls, so the voluem of metal cone is equal to the total volume of n spherical balls.
 
Volume of cone = n (Volume of 1 spherical ball)
1/3 * pi* r2 * h = n * 4/3 * pi * r3
1/3 * pi* (12)2 * (24) = n * 4/3 * pi * (3)3
(12)2 * (24) = n * 4 * (3)3
n = 32
Thus, 32 spherical balls can be formed.
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