8th Class Mental Ability Mensuration Question Bank Mensuration

  • question_answer
    The slant height of a right circular cone is 10m and its height is 8m. Find the area of its curved surface.

    A) \[30\pi \,{{m}^{2}}\]              

    B)       \[40\pi \,{{m}^{2}}\]

    C) \[60\pi \,{{m}^{2}}\]   

    D)       \[80\pi \,{{m}^{2}}\]

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option [c] is correct. \[l~=10\text{ }m,\text{ }h=8\text{ }m.\] So, r = \[r=\sqrt{{{\ell }^{2}}-{{h}^{2}}}=\sqrt{{{\left( 10 \right)}^{2}}-{{8}^{2}}}=6m\] \[\therefore \] Curved surface area = \[\pi r\ell =\left( \pi \times 6\times 10 \right){{m}^{2}}=60\pi \,\,{{m}^{2}}\]          


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