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

  • question_answer
    The base radius of a cylinder is\[1\frac{2}{3}\]. times its height. The cost of painting its curved surface area at \[\text{2 paise}/\text{c}{{\text{m}}^{\text{2}}}\]is ` 92.40. Find the volume of the liquid.

    A)  \[\text{8}0\text{85}0\text{ c}{{\text{m}}^{\text{3}}}\]                 

    B)  \[\text{8}0\text{58}0\text{ c}{{\text{m}}^{\text{3}}}\]

    C)  \[\text{8}0\text{5}0\text{8 c}{{\text{m}}^{\text{3}}}\]   

    D)         \[\text{8}00\text{5}0\text{8 c}{{\text{m}}^{\text{3}}}\]

    Correct Answer: A

    Solution :

     C.S.A. \[=2\times \frac{22}{7}\times h\times \frac{5h}{3}=\frac{220{{h}^{2}}}{21}\] \[\therefore \]\[\frac{9240}{2}=\frac{220{{h}^{2}}}{21}\] \[\therefore \]\[V=\pi {{r}^{2}}h=80850\,c{{m}^{3}}\]


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