## Task 1 - 020911

For the storage of crude oil, roll tanks from the Soviet Union were set up at the Rostock Oil Harbor. One such tank has the shape of a cylinder with a diameter of $d=23 \mathrm{~m}$ and a height of $h=21 \mathrm{~m}$.

a) Calculate the volume of one tank, neglecting the wall thickness!

b) How many tons of crude oil can one roll tank hold (density of crude oil approximately $0.85 \mathrm{~g} / \mathrm{cm}^{3}$)?

c) The tanker "Leuna I" built in Leningrad for the GDR has a total capacity of 10200 t of crude oil. Its four pumps each have a capacity of 250 t/h. In what time will the tanker be emptied by them?

d) How much time is required to fill a roll tank using these pumps?
a) $V=\frac{\pi}{4} d^{2} \cdot h \approx 8725 \mathrm{~m}^{3}$
b) $m=\varrho \cdot V=0.85 \mathrm{~g} / \mathrm{cm}^{3} \cdot 8725 \cdot 10^{6} \mathrm{~cm}^{3} \approx 7416 \mathrm{t}$
c) $t=\frac{10200 \mathrm{t}}{4 \cdot 250 \mathrm{t} / \mathrm{h}}=10.2 \mathrm{~h}=10 \mathrm{~h} 12 \mathrm{~min}$
d) $t=\frac{7416 \mathrm{t}}{4 \cdot 250 \mathrm{t} / \mathrm{h}} \approx 7.4 \mathrm{~h}=7 \mathrm{~h} 24 \mathrm{~min}$