Church roof 2

The roof has the shape of a rotating cone shell with a base diameter of 6 m and a height of 2.5 m. How many monez (CZK) will cost the roof cover sheet if 1 m2 of metal sheet costs 152 CZK and if you need 15% extra for joints, overlays and waste?

Result

x =  6433.503 Kc

Solution:

D=6 r=D/2=6/2=3 h=2.5 s=r2+h2=32+2.523.9051 S=π r s=3.1416 3 3.905136.8049 x=152 1.15 S=152 1.15 36.80496433.50266433.503 KcD=6 \ \\ r=D/2=6/2=3 \ \\ h=2.5 \ \\ s=\sqrt{ r^2+h^2 }=\sqrt{ 3^2+2.5^2 } \doteq 3.9051 \ \\ S=\pi \cdot \ r \cdot \ s=3.1416 \cdot \ 3 \cdot \ 3.9051 \doteq 36.8049 \ \\ x=152 \cdot \ 1.15 \cdot \ S=152 \cdot \ 1.15 \cdot \ 36.8049 \doteq 6433.5026 \doteq 6433.503 \ \text{Kc}



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