I would like to know if my answers are correct: Disclaimer: We are allowed to keep our answers in formula form
- Use the washer method to find the volume of the solid that is generated by rotating the plane region bounded by y=x^2 and y = 2-x^2 about the axis y=-1
My Work: [pi((3-(1)^2)-((1)^2+1)^2] - [pi((3-(-1)^2)-((-1)^2+1)^2
My Answer: 0?? 2. Use the washer method to find the volume of the solid that is generated by revolving the region bounded by the lines 3y = 2x, x=0, and y=2 about the y-axis
My Work: pi(9(2)^3/12) My Answer: 72pi/12 3. Use the washer method to find the volume of the solid that is generated by rotating the region in the first quadrant bounded above by y = cosx and on the right x = pi/2 about the line y=2
My work: pi((4(pi/2) - ((2-(cos(pi/2))^3)/3) My Answer: 11.36 4. Use the washer method to find the volume of the solid that is generated by revolving the region bounded by the curve y-x^3, y=0, and x=2 about the x-axis
My Work: pi(2^4/4) My Answer = 4pi I would greatly appreciate if you could let me know if my answer are correct. I am trying to practice as much as I can, and I would really like to know if I am understanding the material correctly. If the answer if wrong I would really appreciate if you could give me a clue as to where I can try to start to solve the problem. Thank You!!
My Answer: 0?? 2. Use the washer method to find the volume of the solid that is generated by revolving the region bounded by the lines 3y = 2x, x=0, and y=2 about the y-axis
My Work: pi(9(2)^3/12) My Answer: 72pi/12 3. Use the washer method to find the volume of the solid that is generated by rotating the region in the first quadrant bounded above by y = cosx and on the right x = pi/2 about the line y=2
My work: pi((4(pi/2) - ((2-(cos(pi/2))^3)/3) My Answer: 11.36 4. Use the washer method to find the volume of the solid that is generated by revolving the region bounded by the curve y-x^3, y=0, and x=2 about the x-axis
My Work: pi(2^4/4) My Answer = 4pi I would greatly appreciate if you could let me know if my answer are correct. I am trying to practice as much as I can, and I would really like to know if I am understanding the material correctly. If the answer if wrong I would really appreciate if you could give me a clue as to where I can try to start to solve the problem. Thank You!!
