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Unformatted text preview: solid? CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 3 — due 9/15 or 9/16 2 2. [10 points] (6.1: 55) The volume of a torus. The disk x 2 + y 2 ≤ a 2 is revolved about the line x = b (where b > a ) to generate a solid shaped like a doughnut, known as a torus . Find its volume. ( Hint: i aa r a 2y 2 dy = πa 2 / 2 , since it is the area of a semicircle of radius a . ) CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 3 — due 9/15 or 9/16 3 3. [10 points] Let S be the solid obtained by rotating about the y –axis the region enclosed by the curves y = x and y = x 4 . (a) Sketch the region, the solid, and draw a typical disk, washer or cylindrical shell — whichever you prefer to use to Fnd the volume. (b) ±ind the volume of S . THIS IS THE LAST PAGE....
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This note was uploaded on 10/31/2011 for the course MATH 1120 at Cornell.
 '06
 GROSS
 Math, Calculus

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