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Most people start out by calculating the volume of liquid.
As with many mathematical tasks some thought in advance may save a lot of work . Failing that, if you review your method you may find a neater and more efficient way to do it. Very often the best approach leads to a really pretty bit of maths. Consider the enlargement of the conical space above the liquid to the whole cone. The space above the liquid has an eighth of the volume of the whole cone and the liquid takes up seven eighths of the volume.