8th Class Mental Ability Mensuration Question Bank Mensuration

  • question_answer
    The external diameter of an iron pipe is 25 cm and its length is 20 cm. If the thickness of the pipe is 1 cm, find the total surface area of the pipe.

    A) \[3267\,c{{m}^{2}}\]           

    B)       \[3384\,c{{m}^{2}}\]

    C) \[3224\,c{{m}^{2}}\]           

    D)       \[3168\,c{{m}^{2}}\]

    E) None of these

    Correct Answer: D

    Solution :

    Explanation Option [d] is correct. Length of the pipe, \[h=20\text{ }cm.\] External radius of the pipe, \[R=\frac{25}{2}=12.5\text{ }cm.\] Thickness of pipe \[=1\text{ }cm.\] Internal radius of this pipe, \[r=\left( 12.5-1 \right)=11.5\text{ }cm.\] Total surface area of the pipe = \[2\pi Rh+2\pi rh+2\left( \pi {{R}^{2}}-\pi {{r}^{2}} \right)=3168\,\,c{{m}^{2}}.\]


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