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6-1.2-problems - 6 volume = 11 π 6 cu units 004 10.0...

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tran (pt4954) – 6.2 – campisi – (54970) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points Find the volume, V , of the solid obtained by rotating the region bounded by y = 3 x , x = 2 , x = 3 , y = 0 about the x -axis. 1. V = 3 8 2. V = 3 2 π 3. V = 3 4 π 4. V = 3 2 5. V = 3 4 6. V = 3 8 π 002 10.0points Find the volume, V , of the solid obtained by rotating the bounded region in the first quadrant enclosed by the graphs of y = x 3 2 , x = y 4 about the x -axis. 1. V = 5 12 cu. units 2. V = 7 15 π cu. units 3. V = 1 2 π cu. units 4. V = 5 12 π cu. units 5. V = 1 2 cu. units 6. V = 7 15 cu. units 003 10.0points The shaded region in x y is bounded by the y -axis and the graphs of y = 1 + x , y = 2 . Find the volume of the solid obtained by ro- tating this region around the x -axis. 1. volume = 4 π 3 cu. units 2. volume = 5 π 3 cu. units 3. volume = 13 π 6 cu. units 4. volume = 5 π 6 cu. units 5. volume = 7 π 6 cu. units
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Unformatted text preview: 6. volume = 11 π 6 cu. units 004 10.0 points Let A be the bounded region enclosed by the graphs oF f ( x ) = x , g ( x ) = x 3 . tran (pt4954) – 6.2 – campisi – (54970) 2 Find the volume of the solid obtained by ro-tating the region A about the line x + 3 = 0 . 1. volume = 11 3 π 2. volume = 3 π 3. volume = 8 3 π 4. volume = 4 π 5. volume = 10 3 π 005 10.0 points A cap of a sphere is generated by rotating the shaded region in y 2 5 about the y-axis. Determine the volume of this cap when the radius of the sphere is 5 inches and the height of the cap is 2 inches. 1. volume = 17 π cu. ins 2. volume = 55 3 π cu. ins 3. volume = 53 3 π cu. ins 4. volume = 18 π cu. ins 5. volume = 52 3 π cu. ins...
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