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    Question

    The number of solid spheres, each of diameter 8cm, that

    could be molded to form a solid┬а metal cylinder of height 64cm and diameter 4cm is:
    A 14 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer

    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 =n├Ч volume of Sphere ╧Аr2h = n ├Ч4/3 ╧Аr3 2├Ч2├Ч64 =n├Ч4/3 ├Ч4├Ч4├Ч4 n=3

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