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(Solved): Consider the solid torus (the donut-shaped solid shown in the figure) with radii 4r and 7R. a = 7 b ...




Consider the solid torus (the donut-shaped solid shown in the figure) with radii 4r and 7R.
a = 7
b=4
(a) Set up an integral
Consider the solid torus (the donut-shaped solid shown in the figure) with radii 4r and 7R. a = 7 b=4 (a) Set up an integral for the volume of the given solid. T 56% R 28 R 2 ydy 56 R R™ (167² - y²)² dy 56 R aR ?16r2²dr 4r ? ?167² – yªdy ?? 28 R zdr (b) By interpreting the integral as an area, find the volume V of the torus. V =


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