**CALC II** Find the volume of the solid generated by revolving the described region about the given axis: The region in the first quadrant enclosed on the left by the y-axis and on the right by the curve x = 4 (y^2 - y^3), rotated about the (a)x-axis; (b)y = 1; (c) y = 2; (d) y = -2

Question

nincompoop · Answer

show us your ATTEMPT

nincompoop · Answer

gosh, you're doing calculus now, act more mature about doing work

aum · Answer

x = 4 (y^2 - y^3) = 4y^2(1 - y)
Find x-intercept(s):  Set y = 0.  x = 0
Find x-intercepts:  Set x = 0.  0 = 4y^2(1 - y).  y = 0, y = 1.

Next, a rough sketch:

aum · Answer

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