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A solid metal cylinder of radius 6 cm and height 32 cm is melted and recast into solid spheres of radius 2 cm each. How many spheres are obtained?

Class 10Volume of Combined SolidsMensuration
  • A108
  • B144
  • C216
  • D54

Step-by-Step Solution

Volume is conserved and π cancels. Cylinder = . One sphere = . Number = . 144 drops the and divides by ; 216 uses (a hemisphere) for each ball; 54 is half the true count.
Answer: A) 108

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