Metal sheets

How much metal sheet is needed to produce 8 gutters 4 m long and 12 cm in diameter? During production joints calculate at 3% of total consumption.

Correct result:

A =  6.213 m2

Solution:

D=12 cm→m=12/100 m=0.12 m r=D/2=0.12/2=350=0.06 m l=8⋅ 4=32 m  S1=π⋅ D⋅ l=3.1416⋅ 0.12⋅ 32≐12.0637 m2  q=3%=1+3100=1.03  A=S1/2⋅ q=12.0637/2⋅ 1.03=6.213 m2D=12 \ cm \rightarrow m=12 / 100 \ m=0.12 \ m \ \\ r=D/2=0.12/2=\dfrac{ 3 }{ 50 }=0.06 \ \text{m} \ \\ l=8 \cdot \ 4=32 \ \text{m} \ \\ \ \\ S_{1}=\pi \cdot \ D \cdot \ l=3.1416 \cdot \ 0.12 \cdot \ 32 \doteq 12.0637 \ \text{m}^2 \ \\ \ \\ q=3 \%=1 + \dfrac{ 3 }{ 100 }=1.03 \ \\ \ \\ A=S_{1} / 2 \cdot \ q=12.0637 / 2 \cdot \ 1.03=6.213 \ \text{m}^2

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