SSC Sample Paper SSC CGL - Sample Paper-2

  • question_answer
    A solid metallic cone of height 10 cm and radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?

    A)  25                               

    B)  75

    C)  50                               

    D)  125

    Correct Answer: D

    Solution :

    Radius of cone \[=20\,cm\] and height of cone\[=10\,cm\] \[\therefore \] Volume of cone \[=\frac{1}{3}\pi {{(20)}^{2}}\times 10\]                             \[=\frac{4000}{3}\pi \,c{{m}^{3}}\] and radius of spherical ball \[=2\,cm\] \[\therefore \] Volume of spherical ball \[=\frac{4}{3}\pi {{(2)}^{3}}=\frac{32\pi }{3}\] \[\therefore \] Required number of balls \[=\frac{4000}{32}=125\]


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