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You came across an egg that was a perfect sphere. You placed it in a tub of water and found that it displaced exactly 280,000 cubic centimetres. However, it was floating on the water, and only 72% of the surface area of the egg was below the water line.

What was the total volume of the egg, in cubic centimetres?

Isn't the volume of a sphere 3/4 pi r^3?
How would I go about solving this problem?

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