Cylinder 5032

The tank has the shape of a rotating cylinder with a height of 10 m. The width of the level is 1 m, and the level is 20 cm below the top of the cylinder. How much diesel is in the tank?

Correct answer:

V =  7696.9 l

Step-by-step explanation:

$$\begin{gathered} h=10\cdot 10-20/10=98\text{dm} \\ D=1\cdot 10=10\text{dm} \\ r=D/2=10/2=5\text{dm} \\ S=\pi \cdot r^2=3.1416\cdot 5^2\doteq 78.5398{\text{dm}}^2 \\ V=S\cdot h=78.5398\cdot 98=7696.9\text{l} \end{gathered}$$

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