# Volume of Interesting Structure

Calculus Level 4

Let $$V$$ be the volume of the 3-dimensional structure bounded by the regions $$z \leq 1 - x^2 - y^2$$, $$x^2+y^2 \leq x$$, $$x \geq 0$$, $$y \geq 0$$ and $$z \geq 0$$. What is the value of $$V?$$

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