CLAT Sample Paper CLAT Sample Paper-2

  • question_answer
    The volume of two hemisphere are in the ratio 8 : 27. What is the ratio of their radii?

    A)  2 : 3  

    B)  3 : 2 

    C)  1 : 2   

    D)  2 : 1

    Correct Answer: A

    Solution :

    Let the volumes be \[{{V}_{1}}\] and \[{{V}_{2}}\]. \[\therefore \] \[{{V}_{1}}:{{V}_{2}}=8:27\] \[\Rightarrow \] \[\frac{2}{3}\pi r_{1}^{3}:\frac{2}{3}\pi r_{2}^{3}=8:27\] \[\Rightarrow \] \[r_{1}^{3}:r_{2}^{3}=8:27\] \[\therefore \] \[{{r}_{1}}:{{r}_{2}}=2:3\]


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