Reservoir

6 m long reservoir has a diameter of 2.2 m. What is its surface area in square meters?

Correct answer:

S =  49.0717 m²

Step-by-step explanation:

$$\begin{gathered} D=2.2\text{ m } \\ h=6\text{ m } \\ r=D\mathrm{/}2=2.2\mathrm{/}2={\displaystyle \frac{11}{10}}=1.1\text{ m } \\ {S}_1=\pi \cdot r^2=3.1416\cdot 1.1^2\doteq 3.8013{\text{m}}^2 \\ S=2\cdot S_1+2\pi \cdot r\cdot h=2\cdot 3.8013+2\cdot 3.1416\cdot 1.1\cdot 6=49.0717{\text{m}}^2 \end{gathered}$$

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