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Disks Washers Cylindrical Shells Volume of the Solid Integration problems

Volume of the Solid by Revolution DISK Integration Method example

Revolve the region under a curve

on the interval [0, 4] about the x-axis and find the volume of the resulting solid.

 

Solution to this Volume of the Solid by Rotation practice problem is provided in the video below!



Volume of the Solid by Rotation DISK Integration Method example problem

Find the volume of the solid resulting from revolving the region bounded by the lines

 and   

from   to 

about the y-axis.

 

Solution to this Volume of the Solid by Revolution practice problem is provided in the video below!



Volume of the Solid by Revolution WASHER Integration Method example question

Find the volume of the solid resulting from revolving the region bounded by lines

,  and  ,

about the line

 

Solution to this Volume of the Solid by Rotation practice problem is provided in the video below!



Volume of the Solid by Rotation WASHER Integration Method example #2

Find the volume of the solid resulting from revolving the region bounded by lines

,  and  ,

about the x-axis.

 

Solution to this Volume of the Solid by Revolution practice problem is provided in the video below!



Volume of the Solid by Rotation CYLINDRICAL SHELL Integration Method example problem

Revolve the region bounded by the graphs of    and    in the first quadrant about the y-axis using Cylindrical Shells and find the volume of the resulting solid.

 

Solution to this Volume of the Solid by Revolution practice problem is provided in the video below!



Volume of the Solid by Revolution WASHER & SHELL Integration Method example question

Find the volume, using Washer and Cylindrical Shell methods, of the solid formed by revolving the region bounded by curves

  and 

about the line

 

Solution to this Volume of the Solid by Rotation practice problem is provided in the video below!






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