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

  • question_answer
    A right circular cone is 3.6 cm high and radius of its base is 1.6 cm. It is melted and recast into a right circular cone with radius of its base as 1.2 cm. Then, the height of the cone (in cm) is

    A) 3.6

    B) 4.8

    C) 6.4

    D) 7.2

    Correct Answer: C

    Solution :

    [c] Let the height of the new cone be h cm. Then, \[\frac{1}{3}\pi \times 1.6\times 1.6\times 3.6=\frac{1}{3}\pi \times 1.2\times 1.2\times h\] \[\Rightarrow \]   \[h=\frac{1.6\times 1.6\times 3.6}{1.2\times 1.2}=6.4\,cm\]


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