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.

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≐56.8411=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 \doteq 56.8411 = 56.841 \%

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