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HW05 (2-16)

# HW05 (2-16) - mao(tm23477 HW05 Radin(56570 This print-out...

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mao (tm23477) – HW05 – Radin – (56570) 1 This print-out should have 22 questions. Multiple-choice 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 y -axis between y = 0 and y = 3. 1. V = 144 25 π cu.units 2. V = 94 25 π cu.units 3. V = 169 25 π cu.units 4. V = 69 25 π cu.units 5. V = 119 25 π 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 x -axis. 1. volume = 8 π cu.units 2. volume = 9 π cu.units 3. volume = 11 π cu.units 4. volume = 7 π cu.units 5. volume = 10 π 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 y -axis. (Hint: as always graph the region first ). 1. V = 128 cu. units 2. V = 64 π cu. units 3. V = 64 cu. units 4. V = 128 π cu. units 5. V = 256 3 π 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 π 2. volume = - 37 30 π 3. volume = 53 30 π 4. volume = 83 30 π 5. volume = - 7 30 π 005 10.0 points A cap of a sphere is generated by rotating the shaded region in

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mao (tm23477) – HW05 – Radin – (56570) 2 y 2 4 about the y -axis. Determine the volume of this cap when the radius of the sphere is 4 inches and the height of the cap is 2 inches.
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HW05 (2-16) - mao(tm23477 HW05 Radin(56570 This print-out...

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