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A solid cylinder has the total …

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A solid cylinder has the total surface area of to 231 CM² the area of its curved surface is two third of its total surface area. Find the volume of the cylinder

    • Posted by Sneha Singh?????? 6 years, 9 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Ram Kushwah 6 years, 9 months ago

    Let a is the side of cube

    Then TSA =CSA+ {tex}2\pi r^2{/tex}

    231=2/3*231+{tex}2\pi r^2{/tex}

    {tex}2\pi r^2{/tex} = 231-154=77

    r2=1/2*77*22/7=11*11, r=11 cm

    Now CSA={tex}2\pi rh{/tex}=2/3*231=154

    {tex}\begin{array}{l}h=\frac{154}{2\pi r}=\frac{77}{\pi r}\\so\;V=\pi r^2h=\pi r^2\times\frac{77}{\pi r}=77\times11\\=847\;m^3\end{array}{/tex}

     

     

     

     

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