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Volume of a Torus A torus is formed by revolving the region bounded by the circle x2 + y2 = 1 about the line x = 2 (see figure). Find the volume of this "doughnut-shaped" solid. (Hint: The integral ∫−1 1 1−x2 dx represents the area of a semicircle.)

Volume of a Torus A torus is formed by revolving the region bounded by the circle x2 + y2 = 1 about the line x = 2 (see figure). Find the volume of this "doughnut-shaped" solid. (Hint: The integral ∫−1 1 1−x2 dx represents the area of a semicircle.)

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  1. Volume of a Torus A torus is formed by revolving the region bounded by the circle x 2 + y 2 = 1 about the line x = 2 (see figure). Find the volume of this "doughnut-shaped" solid. (Hint: The integral ∫ − 1 1 1 − x 2 d x represents the area of a semicircle.)

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