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Solid 3Dhard
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Verify that the volume of a sphere of radius RRR can be found by summing thin cylindrical shells: V=∫0R2πx⋅2R2−x2 dxV = \int_0^R 2\pi x \cdot 2\sqrt{R^2 - x^2}\, dxV=∫0R​2πx⋅2R2−x2​dx. What is this integral equal to?