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

  • question_answer
    The circumference of the base of 9 m high wooden solid cone is 44 m. Find its volume. \[(\pi =\frac{22}{7}.)\]

    A) \[235\text{ }{{m}^{3}}\]                            

    B)   \[~456\text{ }{{m}^{3}}\]             

    C)   \[365\text{ }{{m}^{3}}\]                            

    D)   \[~462\text{ }{{m}^{3}}\]             

    Correct Answer: D

    Solution :

    Circumference of the base of cone =circumference of circle \[=2\pi r\] \[\Rightarrow \]\[44=2\pi r\Rightarrow r=7m\] Volume of the cone \[=\frac{1}{3}\pi {{r}^{2}}h\] \[=\frac{1}{3}\times \frac{22}{7}\times {{(7)}^{2}}\times 9=462\,{{m}^{3}}\] Hence, the volume of \[462\,{{m}^{3}}\]


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