The integral represents the volume of a solid. Describe the solid. 2pi integral^

Question

The integral represents the volume of a solid. Describe the solid. 2pi integral^2_0 y/1 + y^2 dy The solid is obtained by rotating the region 0 less than equal to x less than equal to 2/pi y/1 + y^2, 0 less than equal to y less than equal to 2 about the y axis using cylindrical shells. The solid is obtained by rotating the region 0 less than equal to x less than equal to 1/1 + y^2, 0 less than equal to y less than equal to 2 about the y axis using cylindrical shells. None of these are correct. The solid is obtained by rotating the region 0 less than equal to x less than equal to 1/1 + y^2, 0 less than equal to y less than equal to 2 about the x axis using cylindrical shells. The solid is obtained by rotating the region 0 less than equal to x less than equal to 2/pi y/1 + y^2, 0 less than equal to y less than equal to 2 about the x axis using cylindrical shells.

Explanation / Answer

II option is right

This is shell method by rotation about y axis using 2pi integral h(y) dy

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