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]