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In this instructional segment, Conor Cosnett addresses Yves and outlines three distinct calculus approaches for computing the volume of a torus. First, he references the cylindrical shells method, which involves sweeping a cylindrical shell outward across the torus to arrive at the standard volume formula. Second, he describes an intuitive disk‑sweep technique performed in polar coordinates, where a circular disk is rotated around an axis to generate the torus. Third, he mentions a Cartesian‑based washer method, defining washers stacked along the torus’s vertical direction and integrating them to obtain the volume. The passage emphasizes the versatility of integration strategies for the same geometric object.
