Posted by MAM on Tuesday, January 24, 2012 at 9:43pm.
Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the yaxis.
y = 6x
y = 18
x = 0

calculus  Steve, Wednesday, January 25, 2012 at 12:57pm
V = Int(2pi*r*h dx)[0,3]
where
r = x
h = 18y
V = 2pi*Int(x*(186x) dx)[0,3]
= 2pi * Int(18x  6x^2 dx)[0,3]
= 2pi*(9x^2  2x^3)[0,3]
= 2pi*(2718)
= 18pi
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