Construction 27743

The length of the gutter is 2 m, and the diameter of the gutter is 0.4 m. It is necessary to add 7% of the material to the joints. Find the consumption of sheet metal for the gutter construction.

Correct answer:

A =  1.3446 m²

Step-by-step explanation:

$$\begin{gathered} D=0.4\text{m} \\ r=D/2=0.4/2=\frac{1}{5}=0.2\text{m} \\ l=2\text{m} \\ {S}_1=\pi \cdot r\cdot l=3.1416\cdot 0.2\cdot 2\doteq 1.2566{\text{m}}^2 \\ q=100\%+7\%=1+\frac{7}{100}=1.07 \\ A=S_1\cdot q=1.2566\cdot 1.07=1.3446{\text{m}}^2 \end{gathered}$$

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