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Homework 4

# Homework 4 - yp968 Homework 4 Radin(58415 This print-out...

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yp968 – Homework 4 – Radin – (58415) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find the volume, V , of the solid obtained by rotating the region bounded by y = 1 x , x = 2 , x = 3 , y = 0 about the x -axis. 1. V = 1 6 π 2. V = 1 6 3. V = 1 24 π 4. V = 1 12 5. V = 1 24 6. V = 1 12 π 002 10.0 points 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 = 1 2 π cu. units 2. V = 1 2 cu. units 3. V = 5 12 π cu. units 4. V = 7 15 cu. units 5. V = 7 15 π cu. units 6. V = 5 12 cu. units 003 10.0 points Find the volume, V , of the solid formed by rotating the region bounded by the graphs of y = x + 5 , y = 5 , x = 0 , x = 1 about the line y = 3. 1. V = 19 6 π cu. units 2. V = 11 3 π cu. units 3. V = 23 6 π cu. units 4. V = 10 3 π cu. units 5. V = 7 2 π cu. units 004 10.0 points A cap of a sphere is generated by rotating the shaded region in y 2 4

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yp968 – Homework 4 – Radin – (58415) 2 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. 1. volume = 43 3 π cu. ins 2. volume = 40 3 π cu. ins 3. volume = 14 π cu. ins 4. volume = 44 3 π cu. ins 5. volume = 41 3 π cu. ins 005 10.0 points The volume of a solid can often be deter- mined by integration even when the cross- section of the solid is not necessarily a circle.
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