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.

Answer 1

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.`