Thread: Calculating the Volume of a Rotation.

Could anyone help me out with these problems? I am having trouble solving them.

Find the volume of the solid obtained by the rotation of y=3x^2-x+4 and y=-x^2+3X+12 about the x-axis.

Find the volume of the solid obtained by rotating the region bounded by x=2y-y^2 and x=y^2-4y about the line y=-3.

Originally Posted by ImperialHot

Could anyone help me out with these problems? I am having trouble solving them.

Find the volume of the solid obtained by the rotation of y=3x^2-x+4 and y=-x^2+3X+12 about the x-axis.

Find the volume of the solid obtained by rotating the region bounded by x=2y-y^2 and x=y^2-4y about the line y=-3.

find the x-values of intersection of the two parabolas, and , then use the method of washers ...



where is the outer washer radius and is the inner washer radius.