Posted by MAM on Tuesday, January 24, 2012 at 9:43pm.
V = Int(2pi*r*h dx)[0,3]
where
r = x
h = 18-y
V = 2pi*Int(x*(18-6x) dx)[0,3]
= 2pi * Int(18x - 6x^2 dx)[0,3]
= 2pi*(9x^2 - 2x^3)[0,3]
= 2pi*(27-18)
= 18pi
Related Questions
calculus - Use the shell method to set up and evaluate the integral that gives ...
Calculus - Use the shell method to set up, but do not evaluate, an integral ...
calculus - 2. Let R be the region in the first quadrant bounded by the graphs of...
calculus - 2. Let R be the region in the first quadrant bounded by the graphs of...
Calculus - R is the region in the plane bounded below by the curve y=x^2 and ...
Calculus - R is the region in the plane bounded below by the curve y=x^2 and ...
Calculus - R is the region in the plane bounded below by the curve y=x^2 and ...
Calculus - Let R be the region bounded by y=x^2, x=1, and y=0. Use the shell ...
Calculus - Let R be the region bounded by y=x^2, x=1, and y=0. Use the shell ...
calculus - Use the shell method to find the volume of the solid generated by ...
For Further Reading
