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Question
triangle bounded by the lines y = 0, y = x and x = 4 is revolved about the X-axis. Find the volume of the solid of revolution.
Solution
Given line is y = x
`V=piint_0^4 y^2dx`
`=pi int_0^4x^2dx`
`=pi/3[x^3]_0^4`
`=(64pi)/3 cubic units.`
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