Math CentralQuandaries & Queries


Question from fella, a teacher:

88 litres of oil are poured into a drum 40 cm in diameter. find the depth of the oil in the drum.


The volume of a cylinder is the area of the base, times the height. This is a circular cylinder so the area of the base is π r2 where r is the radius. Thus if the height is h then the volume of the cylinder is

π r2 h cubic units.

One litres is 1000 cubic centimeters so you have a cylindrical shaped tower of oil with a known volume and radius so what is its height?


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