Gutter pipe

How many m² of sheet metal is required to produce a 12 m long and 18 cm wide gutter, if 7% bend is required?

Result

A =  3.63 m2

Solution:

D=18 cm=18/100 m=0.18 m r=D/2=0.18/2=9100=0.09 m l=12 m  S1=π⋅ D⋅ l=3.1416⋅ 0.18⋅ 12≐6.7858 m2  q=7%=1+7100=1.07  A=S1/2⋅ q=6.7858/2⋅ 1.07≐3.6304=3.63 m2D = 18 \ cm = 18 / 100 \ m = 0.18 \ m \ \\ r = D/2 = 0.18/2 = \dfrac{ 9 }{ 100 } = 0.09 \ m \ \\ l = 12 \ m \ \\ \ \\ S_{ 1 } = \pi \cdot \ D \cdot \ l = 3.1416 \cdot \ 0.18 \cdot \ 12 \doteq 6.7858 \ m^2 \ \\ \ \\ q = 7 \% = 1 + \dfrac{ 7 }{ 100 } = 1.07 \ \\ \ \\ A = S_{ 1 } / 2 \cdot \ q = 6.7858 / 2 \cdot \ 1.07 \doteq 3.6304 = 3.63 \ m^2

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