Volumes?

Calculus Level 3

What is the volume bounded by the regions boubded by the graphs of the equation \(z = x^2, z = x^3, y = z^2, y = 0\)?

Let the answer to this question be \(A\). Then give your answer as \(\left \lfloor 1000A \right \rfloor\).


Source: Peter Dunsby.
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