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Unformatted text preview: yp968 – Homework 4 – Radin – (58415) 1 This printout should have 20 questions. Multiplechoice 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 xaxis. 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 xaxis. 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 yp968 – Homework 4 – Radin – (58415) 2 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....
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This note was uploaded on 04/29/2008 for the course M 408L taught by Professor Radin during the Spring '08 term at University of Texas at Austin.
 Spring '08
 RAdin

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