# This only requires single variable calculus

Calculus Level pending

A circular paraboloid with equation $$z=x^2 + y^2$$ is being filled with water. When 10 cubic units of water have been added to the paraboloid, what will be the depth of the water? If $$D$$ is the depth in units, find $$\left \lfloor 10^3 D \right \rfloor$$.

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