10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A sphere of radius \['r'\] is inscribed in the cylind such that the curved surface of the sphere touch the cylinder as shown in the given figure. The area of curved surface of cylinder is

    A)  \[\frac{4}{3}\pi {{r}^{2}}\]                          

    B)  \[4\pi {{r}^{2}}\]  

    C)  \[\pi {{r}^{2}}\]               

    D)         \[2\,\pi {{r}^{2}}\]

    Correct Answer: B

    Solution :

     Height of the cylinder = diameter of sphere\[=2r\]. Curved surface of cylinder                                                 \[=2\pi \times radius\times height\]                 \[=2\pi \times r\times 2r\]                 \[=4\pi \,{{r}^{2}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner