Shell formula for finding volume of solid generated about x-axis

Use the shell method formula to find the volume of the solid generated by revolving the shaded region about the x axis:

V=∫2π(shell radius)(shell height)dy =  ∫2πx f(y)dy     a≤y≤b

Shaded region::
Lower boundary    x=3-y²   intersecting the y axis at (0, √3) and the x axis at (3,0)
Upper boundary    y=√3

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