# Physics

Suppose you have a perfectly spherical water tank with an inside diameter of 8.6 metres. If the drain at the bottom of the tank can't handle a hydrostatic pressure of more than 50 kilopascals, what is the maximum volume of water, in litres, that can be contained in the tank? Assume that gravitational acceleration is exactly 9.81 m/s2.

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1. Height of water makes the pressure. So solve for height.

50kpa/101.3=H/.76m

Now, solve for H. That would be the height of mercury in the tank, but the tank holds water, so multiply H by 13.2. Now you have the depth of the water, use geometry (or calculus) to find the volume.

The author probably had a different technique in mind..

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