10th Class Mathematics Surface Areas and Volumes Question Bank Surface Area and Volume (Mensuration)

  • question_answer A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find the total surface area of the solid. (Use = 22/7)

    A)  \[398.75\text{ }c{{m}^{2}}\]              

    B)  \[418\text{ }c{{m}^{2}}\]   

    C)  \[444\text{ }c{{m}^{2}}\]                  

    D)  \[412\text{ }c{{m}^{2}}\]

    Correct Answer: B

    Solution :

    (b): Radius of cylinder and hemispheres\[=\frac{7}{2}=3.5\,cm\] Height of cylinder \[=19-(3.5\times 2)=12\,\,cm\] Total surface area of solid \[=2\pi rh+4\pi {{r}^{2}}\] \[\Rightarrow \]   \[2\times 3.14\times 3.5\times 12+4\times 3.14\times {{(3.5)}^{2}}\] \[\Rightarrow \]   \[418\,\,c{{m}^{2}}\]  

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