Diameter 30533

The open tank has the shape of a cylinder with a diameter of d = 1 m and a height of v = 2 m. How many m² of sheet metal is needed to make the tank?
How many liters of water will fit in this tank?

Correct answer:

S =  7.0686 m²
V =  1570.7963 l

Step-by-step explanation:

$$\begin{gathered} d=1\text{m} \\ v=2\text{m} \\ r=d/2=1/2=\frac{1}{2}=0.5\text{m} \\ {S}_1=\pi \cdot r^2=\pi \cdot {\frac{1}{2}}^2=3.1416\cdot 0.5^2\doteq 0.7854{\text{m}}^2 \\ {S}_2=\pi \cdot d\cdot v=3.1416\cdot 1\cdot 2\doteq 6.2832{\text{m}}^2 \\ S=S_1+S_2=0.7854+6.2832=7.0686{\text{m}}^2 \end{gathered}$$

$$\begin{gathered} V_1=S_1\cdot v=0.7854\cdot 2\doteq 1.5708{\text{m}}^3 \\ V=V_1\to \text{l}=V_1\cdot 1000\text{l}=1.5708\cdot 1000\text{l}=1570.796\text{l}=1570.7963\text{l} \end{gathered}$$

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