Tank Cylinder
Tank Cylinder
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A water storage tank has the shape of a cylinder with diameter 6 ft. It is mounted so that the circular cross-?
A water storage tank has the shape of a cylinder with diameter 6 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 5 ft, what percentage of the total capacity is being used? (Round the answer to one decimal place.)
You need to compare the area of the segment (with height 1 ft) and the entire circular cross section. This gives you the percentage *empty*. subtract from 100% to get percentage full.
The area of the segment is
r = 3
h = 1
A = (r^2* arccos((r-h)/r))-(r-h)*sqrt(2rh-h^2)
the area of the circle is pi*r^2
the percentage full is
100% - A/(pi*r^2)
The formula is a *lot* easier to follow when formatted properly and accompanied with a diagram (see the reference link).
