# Surface Area: This is Calc Right?

Geometry Level 3

A painter is painting a house both inside and out. He has 10 paint cans, each of which can paint an area of $$\pi$$ sq. units. How many paint cans will he need to paint the $$\textbf{entire}$$ roof if the roof is modeled by rotating the graph of $$y=\sqrt{1-x^2}$$ about the x axis $$360^{\circ}$$ where $$0\leq x\leq 1$$

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