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.
81 π cubic units
36 π cubic units
18 π cubic units
9 π cubic units
Correct answer is B
y=2xV=∫π2dybuty=2xV=∫π4x2dxV=4(3)3π3−4(3)3π3V=4∗27π3=36πcubicunits
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