SOLUTION: Find the volume of the solid of revolution formed by rotating the region bounded by the parabola y = x2 and the lines y = 0 and x = 2 about the x-axis

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the volume of the solid of revolution formed by rotating the region bounded by the parabola y = x2 and the lines y = 0 and x = 2 about the x-axis      Log On


   

Question 1182822: Find the volume of the solid of revolution formed by rotating the region bounded by the parabola y = x2 and the lines y = 0 and x = 2 about the x-axis
Answer by ikleyn(52797) About Me  (Show Source):
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volume = int%28pi%2A%28x%5E2%29%5E2%2C+dx%2C+0%2C2%29 = pi%2Aint%28x%5E4%2Cdx%2C0%2C2%29 = pi%2A%281%2F5%292%5E5 = %2832%2F5%29%2Api = 6.4%2Api cubic units.    ANSWER