SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-15

  • question_answer
    What is the volume (in \[c{{m}^{3}}\]) of a spherical shell with 8 cm and 10 cm as its internal and external diameters respectively?

    A) \[\frac{61\pi }{3}\]                                

    B) \[\frac{122\pi }{3}\]

    C) \[\frac{244\pi }{3}\]      

    D) \[\frac{250\pi }{3}\]

    Correct Answer: C

    Solution :

    \[{{r}_{i}}=\frac{8}{2}=4\,cm\,\,\Rightarrow \,{{r}_{o}}=\frac{10}{2}=5\,cm\] Required volume \[=\frac{4}{3}\pi r_{o}^{3}-\frac{4}{3}\pi r_{i}^{3}\] \[=\frac{4}{3}\pi [{{5}^{3}}-{{4}^{3}}]=\frac{4\pi }{3}\times 61=\]             


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