I need to obtain the volume of the region bound by y = x^2 y = 1 and the y axis by rotating it around the x axis and then about the y axis I could sure use some help if anyone has the time to explain how to attack this. Thank you
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Originally Posted by Frostking I need to obtain the volume of the region bound by y = x^2 y = 1 and the y axis by [1] rotating it around the x axis and [2] then about the y axis. I could sure use some help if anyone has the time to explain how to attack this. Thank you to [1]: The solid is a cylinder with radius r = 1 and height/length = 2 (from x = -1 to x = 1): to [2]: The solid is a kind of bowl with the parabola as cross-section: For your confirmation: The volumes are and .
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