Math CentralQuandaries & Queries


Question from Dave:

I have vertical round flat bottom tanks of various dimensions. It is easy to find total volume but I would like to know how to figure out the conversion factor to go from how many centimeters of liquid is in the tank to the number of total cubic meters of volume. So if my float gauge on the tank says there is 50 cm of fluid in the tank, how many cubic meter of total volume is there?

Hi Dave,

The volume of a cylinder is the area of the base times the height. Your tanks are circular and the area of a circle is $\pi r^2$ square centimeters if $r$ is the radius of the base in centimeters. Thus for each tank you can find the area of the base and then multiply by various depths in centimeters to find the volume in cubic centimeters. There are 100 centimeters in a meter and hence $100 \times 100 \times 100 = 1,000,000$ cubic centimeters in a cubic meter. Thus take the volume in cubic centimeters and move the decimal place 6 places to the left to obtain the volume in cubic meters.

On the other hand you can use our volume calculator or just use it to check your calculations.


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