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Unformatted text preview: mao (tm23477) HW05 Radin (56570) 1 This printout should have 22 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Determine the volume of the right circular cone generated by rotating the line x = 4 5 y about the yaxis between y = 0 and y = 3. 1. V = 144 25 cu.units 2. V = 94 25 cu.units 3. V = 169 25 cu.units 4. V = 69 25 cu.units 5. V = 119 25 cu.units 002 10.0 points Find the volume of the paraboloid gener ated by rotating the graph of y = 4 x be tween x = 0 and x = 1 about the xaxis. 1. volume = 8 cu.units 2. volume = 9 cu.units 3. volume = 11 cu.units 4. volume = 7 cu.units 5. volume = 10 cu.units 003 10.0 points Find the volume, V , of the solid obtained by rotating the region bounded by y = x 2 , x = 0 , y = 16 about the yaxis. (Hint: as always graph the region first ). 1. V = 128 cu. units 2. V = 64 cu. units 3. V = 64 cu. units 4. V = 128 cu. units 5. V = 256 3 cu. units 6. V = 256 3 cu. units 004 10.0 points Let A be the bounded region in the first quadrant enclosed by the graphs of f ( x ) = x , g ( x ) = x 3 . Find the volume of the solid obtained by ro tating the region A about the line x + 3 = 0 . 1. volume = 23 30 2. volume = 37 30 3. volume = 53 30 4. volume = 83 30 5. volume = 7 30 005 10.0 points A cap of a sphere is generated by rotating the shaded region in mao (tm23477) HW05 Radin (56570) 2 y 2 4 about the yaxis. Determine the volume of this cap when the radius of the sphere is 4 inches and the height of the cap is 2 inches.inches and the height of the cap is 2 inches....
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This note was uploaded on 05/12/2010 for the course 408L 408L taught by Professor Radin during the Spring '10 term at University of Texas at Austin.
 Spring '10
 RAdin

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