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Unformatted text preview: 3 ,x = 0 , rotated about the xaxis (e) Region bounded by y = sin x,y = cos x,x = 0 ,x = π 4 , rotated about y = 1 . (f) Region bounded by y = 1 x 2 +3 x +2 ,y = 0 ,x = 0 ,x = 1 , rotated about yaxis 1 4. Find the volume of a torus (doughnut shape) with radius from the center of the hole to the center of the ring R , and radius within the ring r . (See Ex. 63 in Section 6.2 for an illustration.) You may use either method. 5. Find the volume of the following solids: (a) A tetrahedron (pyramid with height h and base an equilateral triangle with side a . (b) A solid with base enclosed by the parabola y = 1x 2 and the xaxis; crosssections perpendicular to the yaxis are squares. 2...
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This note was uploaded on 07/24/2011 for the course MATH 138 taught by Professor Anoymous during the Winter '07 term at Waterloo.
 Winter '07
 Anoymous
 Math, Integrals

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