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Find the total surface area of the cone leave your answer in terms of pi 4 as height and 3 radius

User Zuraff
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1 Answer

1 vote


\huge \boxed {\boxed{ \mathrm{Answer࿐}}}

Given :

  • height = 4 units
  • radius = 3 units

Solution :


\mathrm{Slant \: \: height \: ( l)= \sqrt{ {r}^(2) + {h}^(2) } }


  • l = \sqrt{3 {}^(2) + {4}^(2) }


  • l = √(9 + 16)


  • l = √(25)


  • l = 5

Now,


\large \boxed{ \mathrm{Area = \pi r(l + r)}}


  • \pi * 3 * (5 + 3)


  • \pi * 3 * 8


  • 24\pi

_____________________________


\mathrm{ \#TeeNForeveR}

User Kara Deniz
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