Cylinder 47923

The tank has the shape of a rotating cylinder with a base diameter d = 3.4 m and a height of 4.5 m.
How many liters of water are in the tank if the tank is filled to 2/3?

Correct answer:

V =  27237.6083 l

Step-by-step explanation:

$$\begin{gathered} d=3.4\text{m} \\ h=4.5\text{m} \\ q=\frac{2}{3}\doteq 0.6667 \\ r=d/2=3.4/2=\frac{17}{10}=1.7\text{m} \\ {V}_1=\pi \cdot r^2\cdot h=3.1416\cdot 1.7^2\cdot 4.5\doteq 40.8564{\text{m}}^3 \\ {V}_2=q\cdot V_1=0.6667\cdot 40.8564\doteq 27.2376{\text{m}}^3 \\ V=V_2\to \text{l}=V_2\cdot 1000\text{l}=27.2376\cdot 1000\text{l}=27237.608\text{l}=27237.6083\text{l} \end{gathered}$$

Try another example