8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The radius of a sphere is increased by P%. Its surface area increase by

    A)  \[\frac{30}{\pi }\]                  

    B)  \[60\pi \]    

    C)  \[\frac{15}{\pi }\]      

    D)  \[\frac{30}{{{\pi }^{2}}}\]

    Correct Answer: C

    Solution :

    Surface area of sphere of radius \[210c{{m}^{2}}\] After increase of P% the radius becomes \[213c{{m}^{2}}\] Hence new surface area\[224c{{m}^{2}}\]                                     \[216c{{m}^{2}}\] Percentage increase \[\frac{100\sqrt{2}}{\pi }cm\] \[\frac{50\sqrt{2}}{\pi }cm\] \[\frac{100}{\pi }cm\]


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