debrarackley04 debrarackley04
  • 23-05-2021
  • Mathematics
contestada

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

Respuesta :

Аноним Аноним
  • 23-05-2021

[tex] \huge \boxed {\boxed{ \mathrm{Answer࿐}}}[/tex]

Given :

  • height = 4 units
  • radius = 3 units

Solution :

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

  • [tex]l = \sqrt{3 {}^{2} + {4}^{2} } [/tex]

  • [tex]l = \sqrt{9 + 16} [/tex]

  • [tex]l = \sqrt{25} [/tex]

  • [tex]l = 5[/tex]

Now,

[tex] \large \boxed{ \mathrm{Area = \pi r(l + r)}}[/tex]

  • [tex]\pi \times 3 \times (5 + 3)[/tex]

  • [tex]\pi \times 3 \times 8[/tex]

  • [tex]24\pi[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

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