Solids of Revolution: Part 1
Solids of Revolution: Part 2
Solids of Revolutions: Part 3
Solids of "Non-Revolution"
100
The region between the graph of y=(3/4)x+4 and the x-axis on the interval [-5,3] is revolved about the x-axis to generate a solid. Find the volume of this solid.
340.863
100
The region enclosed by the graphs of y=x+7 and y=2x on the interval [2,4] is revolved about the x-axis. Find the volume of the solid formed.
395.841
100
The region bounded by the curve y=√x, the x-axis, and the line x=4 is revolved about the line y=5. Find the volume of the solid formed.
142.419
100

A solid lies perpendicular to the x-axis between the lines y = √4-x2) and y = -√4-x2). Find the volume of the solid if the cross sections are squares perpendicular to the x-axis, with base in the x-y plane.

42.6667

200
The region in the first quadrant bounded by the graphs of y=-x2+8 and y=2 is revolved about the y-axis to generate a solid. Find the volume of the solid.
56.549
200
The region in the first quadrant enclosed by the graphs of y=x3+1 and y=2x+1 is revolved about the x-axis. Find the volume of the solid that is formed.
13.053
200
The region bounded by the graphs of y=(1/2)x+3 and y=5 in the first quadrant is revolved about the line x=-2. Find the volume of the solid formed.
83.776
200

A solid lies perpendicular to the x-axis between the lines y=x2 and y=3-x2. Find the volume of the solid if the cross sections are rectangles with a height of 4.

19.6

300
The region between the graph of y=(1/2)x3-3, y=3, y=-3, and the y-axis is revolved about the y-axis to generate a solid. Find the volume of this solid.
59.280
300
The region in the first quadrant enclosed by the graph of y=x2-1 and the x-axis on the interval [1,3] is revolved about the y-axis. Find the volume of the solid that is formed.
100.531
300
The region bounded by the graphs of y=-x2+2 and y=-4 is revolved about the line y=-4. Find the volume of the solid formed.
295.499
300

Find the volume of a cylinder with radius 5 and height x.

Volume =78.54x

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