9th Class Mathematics Surface Areas and Volumes Question Bank Surface Areas and Volumes

  • question_answer
    A vessel is conical in shape. If its volume is 33.264 litres and height is 72 cm, what is the cost of repairing its C.S.A. at ` 12/sq. m?

    A) Rs. 5.94         

    B)   Rs. 6.94          

    C)   Rs. 7.95         

    D)   Rs. 7.59                      

    Correct Answer: A

    Solution :

    \[V=33264\,c{{m}^{3}}\](Since \[1000\,c{{m}^{3}}=1\]litre.) \[\frac{1}{3}\pi {{r}^{2}}h=33264\Rightarrow r=21\,cm\] \[\therefore \]\[l=\sqrt{{{h}^{2}}+{{r}^{2}}}=75\,cm\] \[C.S.A=\pi rl=\frac{22}{7}\times 21\times 75\,c{{m}^{2}}\] \[1\,sq.m\,=10000\,c{{m}^{2}}\] \[\therefore \]\[\operatorname{cost}=\frac{12\times 22\times 21\times 75}{7\times 10000}=\]` 5.94


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