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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