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 March 22nd, 2019, 08:39 AM #1 Member   Joined: Feb 2018 From: Iran Posts: 38 Thanks: 3 Finding volume of solid formation using disck method find the volume of the solid figure generated by rotating the area of the region bounded y=1/x the x axis x=1 and x=3 about y_axis How to solve this question using ring methode? I've added my way of solving the question but I am not sure if its true if it's not can you please say where I did wrong?
 March 22nd, 2019, 08:50 AM #2 Math Team   Joined: Jul 2011 From: Texas Posts: 2,887 Thanks: 1506 two integrals are required ... $\displaystyle V = \pi \int_0^{1/3} 3^2 - 1^2 \, dy + \pi \int_{1/3}^1 \left(\dfrac{1}{y}\right)^2 - 1^2 \, dy$ one integral using cylindrical shells ... $\displaystyle V = 2\pi \int_1^3 x\left(\dfrac{1}{x}\right) \, dx$ Thanks from Elize

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