Find the volume of the body of revolution formed by the plane figure surrounded by the curve y = x square and x = 3 rotating around the X axis
Let v be the volume of the body of revolution formed by one revolution of the X axis of the plane figure enclosed by y = x ^ 2, x = 3 and y = 0. Then v = ∫ (0 → 3) π y ^ 2DX = π∫ (0 → 3) x ^ 4DX =) π / 5) x ^ 5 | x = 0 → 3 = 243 π / 5
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