Gutter

How much sheet metal is needed to produce 60 gutter pipe sections, each with a diameter of 17 cm and a length of 6 m? The plate bends require an additional 6% of material.

Final Answer:

S =  203.8 m²

Step-by-step explanation:

$$\begin{gathered} n=60 \\ D=17\text{cm}\to \text{m}=17:100\text{m}=0.17\text{m} \\ l=6\text{m} \\ q=100\%+6\%=1+\frac{6}{100}=1.06 \\ o=\pi \cdot D=3.1416\cdot 0.17\doteq 0.5341\text{m} \\ {S}_1=o\cdot l=0.5341\cdot 6\doteq 3.2044{\text{m}}^2 \\ S=n\cdot S_1\cdot q=60\cdot 3.2044\cdot 1.06=203.8{\text{m}}^2 \end{gathered}$$

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