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| Math Central | Quandaries & Queries |
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Question from Alexander: if a cylindrical water tank has diameter of 90cm and leak starts at the bottom 10 litres in an hour. how long will it take for the level to fall by 20cm |
Hi Alexander,
The volume of a cylinder cylinder is $\pi \; r^2 h$ where $r$ is the radius and $h$ is the height. Thus the volume of water that is lost through the leak is
\[\pi \; \left(\frac{90}{2}\right)^2 \times 20 \mbox{ cubic centimeters.}\]
There are 1000 cubic centimeters in a litre so how many litres is that? At 10 liters per hour how long will it take to lose that much water?
Penny
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