Calculate the volume of the solid of revolution generated by revolving the region bounded by the parabolas y 2 = 2 (x − 3) and y 2 = x about y = 0.

Step-by-step explanation:

given are two parabolas with vertex as (3,0) and (0.0)

These two intersect at x=6

Volume of II  curve rotated about x axis - volume of I curve rotated about x axis = Volume of solid of revolution

For the second curve limits for x are from 0 to 6 and for I curve it is from 3 to 6

V2 =\pi

V1 =

Volume of solid of revolutin = V2-V1 =

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step-by-step explanation:

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step-by-step explanation:

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