Tower

How many m2 of copper plate should be to replace roof of the tower conical shape with diameter 24 m and the angle at the vertex of the axial section is 144°?

Correct result:

S =  476 m2

Solution:

r=24/2=12 m s=r/sin⁡(144∘/2)=12.62 m  S=πrs=π⋅12⋅12.62=476 m2r = 24/2 = 12 \ m \ \\ s = r / \sin(144 ^\circ / 2) = 12.62 \ m \ \\ \ \\ S = \pi r s = \pi \cdot 12 \cdot 12.62 = 476 \ \text{m}^2

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