CLAT CLAT Solved Paper-2011

  • question_answer
    A cylindrical tennis ball container can contain maximum three balls stacked on one another. The top and bottom balls also touch the lid and the base of the container respectively. If the volume of a tennis ball is 240 cm 3, then what is the volume of the container?

    A)  1080 cm3                   

    B)  840 cm3

    C)  1440 cm3                   

    D)  720 cm3

    Correct Answer: A

    Solution :

    Ans.    According to the question,\[\frac{4}{3}\pi {{r}^{3}}=240\] \[\therefore \]    r (radius of ball) \[=\sqrt[3]{57.27}\]             We know, radius of ball = radius of container\[=\sqrt[3]{57.27}\]             Height of container \[=6\times \sqrt[3]{57.27}\]             \[\therefore \] Volume of container \[=\pi {{r}^{2}}h=\pi \,\,{{(\sqrt[3]{57.27})}^{2}}\times 6\times \sqrt[3]{57.27}\] \[=6\pi \,{{(57.27)}^{3}}\times {{(57.27)}^{\frac{1}{3}}}\] \[=6\pi \times 57.27\] \[\approx {{1080}^{3}}\]


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