Find the volume of the solid that is generated by rotating the region formed by the graphs of y = x2, y = 2, and x = 0 about the y-axis.

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- December 2nd 2006, 05:33 AMYogi_Bear_79Find the volume of the solid
Find the volume of the solid that is generated by rotating the region formed by the graphs of y = x2, y = 2, and x = 0 about the y-axis.

- December 2nd 2006, 05:55 AMgalactus
You can use shells or washers.

Shells:

Washers:

- December 2nd 2006, 10:55 AMYogi_Bear_79
sorry to be so ignorant at this, but using shells could you show me the rest of the answer?

- December 2nd 2006, 11:45 AMJameson

Call the integral

Thus the volume is

Make sense? - December 2nd 2006, 11:55 AMYogi_Bear_79
so if I did it right then, V = 6.64257 ?