Gutter

How much metal is needed for production 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.

Correct answer:

S =  203.8 m²

Step-by-step explanation:

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

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