EvangelyneM79080 EvangelyneM79080
  • 03-11-2022
  • Mathematics
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29.What is the surface area of the cone?90 cm²1207 cm²12 cm5 cm

29What is the surface area of the cone90 cm1207 cm12 cm5 cm class=

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TrentonZ561448 TrentonZ561448
  • 03-11-2022

Given:

The cone with height(h) 12 cm and radius(r) 5 cm.

Required:

What is the surface area of the cone?

Explanation:

The formula required to calculate surface area of cone:

[tex]\begin{gathered} SA=\pi r(r+\sqrt{h^2+r^2}) \\ Where, \\ r(Radius) \\ h(Height) \end{gathered}[/tex]

We have radius(r) = 5 cm and height(h) = 12 cm.

So,

[tex]\begin{gathered} SA=\pi\times5\times(5+\sqrt{12^2+5^2}) \\ SA=\pi\times5\times(5+\sqrt{169}) \\ SA=\pi\times5\times(5+13) \\ SA=\pi\times5\times18 \\ SA=90\pi cm^2 \end{gathered}[/tex]

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