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Find the volume of solid generated when the area enclosed...

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

A.

81 π cubic units

B.

36 π cubic units

C.

18 π cubic units

D.

9 π cubic units

Correct answer is B

y=2xV=π2dybuty=2xV=π4x2dxV=4(3)3π34(3)3π3V=427π3=36πcubicunits