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10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A sphere has the same curved surface as the total surface area of cylinder of height 4 cm diameter of base 8 cm. The radius of the sphere is

    A)  2 cm                     

    B)         3cm

    C)  4 cm                       

    D)         6 cm

    Correct Answer: C

    Solution :

     Let the radius of the sphere be r. Then curved surface of sphere \[=4\pi \,{{r}^{2}}\] Total surface of cylinder \[=2\pi \] .radius . (radius + height)                 \[=2\pi \times 4\times (4+4)=64\pi \] \[\therefore \]  \[4\pi \,{{r}^{2}}=64\,\pi \]                 \[r=4\,cm\]


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