CLAT Sample Paper CLAT Sample Paper-6

  • question_answer
    The height of a cone is 21 cm and radius of its base is 28 cm. Find its total surface area.

    A)  \[5544\,c{{m}^{2}}\]      

    B)  \[2342\,c{{m}^{2}}\]

    C)  \[3432\,c{{m}^{2}}\]     

    D)  \[1152\,c{{m}^{2}}\]

    Correct Answer: A

    Solution :

    We have, r = 28 cm and A =21 cm Slant height \[(l)=\sqrt{{{r}^{2}}+{{h}^{2}}}=\sqrt{{{(28)}^{2}}+{{(21)}^{2}}}\] \[=\sqrt{1225}=35\,cm\] \[\therefore \] Total surface area \[=\pi r(l+r)=\frac{22}{7}\times 28\times (35+28)\] \[=\frac{22}{7}\times 28\times 63=5544\,\,\text{c}{{\text{m}}^{\text{2}}}\]


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