Water reservoir

The reservoir shape of a cylinder having a diameter 8 m and a height 2.8 m. The device indicates that the reservoir contains 800 hectoliters of water. Calculate how much % of volume is used.

Correct result:

p =  56.841 %

Solution:

V1=800/10=80 D=8 h=2.8 r=D/2=8/2=4 V2=π⋅ r2⋅ h=3.1416⋅ 42⋅ 2.8≐140.7434 p=100⋅ V1/V2=100⋅ 80/140.7434=56.841%V_{1}=800/ 10=80 \ \\ D=8 \ \\ h=2.8 \ \\ r=D/2=8/2=4 \ \\ V_{2}=\pi \cdot \ r^2 \cdot \ h=3.1416 \cdot \ 4^2 \cdot \ 2.8 \doteq 140.7434 \ \\ p=100 \cdot \ V_{1}/V_{2}=100 \cdot \ 80/140.7434=56.841 \%

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