9th Class Mathematics Related to Competitive Exam Question Bank Mensuration

  • question_answer
    Three spherical metal balls of radii 5, 8 and R cm are melted into a solid sphere of radius 12 cm. The value of R is:

    A) 8                         

    B)       10

    C) 14                                

    D) 18

    E) None of these

    Correct Answer: B

    Solution :

    Explanation Option [b] is correct. \[\frac{4}{2}\pi \,{{5}^{3}}+\frac{4}{3}\pi {{.8}^{3}}+\frac{4}{3}\pi {{r}^{3}}=\frac{4}{3}\pi {{(12)}^{3}}\] \[\therefore \,\,125+512+{{R}^{3}}=1728\] \[{{\operatorname{R}}^{3}}=1091\] \[\therefore R\,=10\,(approx)\]


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