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SSC Sample Paper Mock Test-9 SSC CGL Tear-II Paper-1

  • question_answer
    A solid metallic cone of height 10 cm, 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 :

    Let number of balls = n \[\therefore \] Volume of n balls = Volume of cone \[\Rightarrow \]   \[n\times \frac{4}{3}\pi {{r}^{3}}=\frac{1}{3}\pi {{R}^{2}}h\] \[\Rightarrow \]   \[n\frac{4}{3}{{(2)}^{3}}=\frac{1}{3}{{(20)}^{2}}\times 10\] \[\Rightarrow \]   \[n=125\]


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