Question
The number of solid spheres, each of diameter 8cm, that
could be molded to form a solid metal cylinder of height 64cm and diameter 4cm is:Solution
Diameter of sphere =8cm then radius =4cm. Height of cylinder =90cm and radius =4/2=2cm. Let the number of solid spheres=n ATQ- Volume of cylinder =nĂ— volume of Sphere Ï€r2h = n Ă—4/3 Ï€r3 2Ă—2Ă—64 =nĂ—4/3 Ă—4Ă—4Ă—4 n=3
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