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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?

Asked by 5th March 2013, 10:04 AM
Answered by Expert
Answer:
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.
Answered by Expert 5th March 2013, 4:56 PM
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