SSC Quantitative Aptitude Mensuration Question Bank Mensuration-II (I)

  • question_answer
    Find the number of lead balls of diameter 2 cm each, that can be made from a sphere of diameter 16 cm.

    A) 512

    B) 2055

    C) 2058    

    D) 2085

    Correct Answer: A

    Solution :

    [a] Volume of the sphere \[=\left( \frac{4}{3}\pi \times 8\times 8\times 8 \right)c{{m}^{3}}\] Volume of each lead ball \[=\frac{4}{3}\pi \times 1\times 1\times 1=\frac{4\pi }{3}c{{m}^{3}}\] \[\therefore \]Number of lead balls \[=\frac{4}{3}\pi \times 8\times 8\times 8\times \frac{3}{4\pi }\] \[=8\times 8\times 8=512\]


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