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    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:
    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× volume of Sphere πr2h = n ×4/3 πr3 2×2×64 =n×4/3 ×4×4×4 n=3

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