# Thread: Volume of a Solid of Revolution

1. ## Volume of a Solid of Revolution

I need help with these problems, help would be greatly appreciated!

Problem 1: Find the volume of the solid that results when the region between the curve y=x and the x-axis, from x=0 to x=1, is revolved about the x-axis.

Problem 2: Find the volume of the solid that results when the region bounded by y=x and y=x^2, from x=0 to x=1, is revolved about the x-axis

Problem 3: Find the volume of the solid that results when the region bounded by the curve x=y^2 and the curve x=y^3, from y=0 to y=1 is revolved about the y-axis.

Using the Cylindrical Shells

Problem 4: Find the volume of the region that results when the region bounded by the curve y=sqrt(x), the x-axis, and the line=9 is revolved about the y-axis. Set up but do not evaluate the integral.

Problem 5: Find the volume of the region that results when the region bounded by the curve x=y^2 and the line x=y, from y=0 to y=1, is rotated about the x-axis. Set up but do not evaluate the integral.

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