m252c7s2sol - Bob Brown CCBC Dundalk Math 252 Calculus 2 Chapter 7 Section 2 Completed 1 Volume of a Solid of Revolution Using the Disk Method Another

# m252c7s2sol - Bob Brown CCBC Dundalk Math 252 Calculus 2...

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Bob Brown Math 252 Calculus 2 Chapter 7, Section 2 Completed 1 CCBC Dundalk Volume of a Solid of Revolution: Using the Disk Method Another application of the definite integral is the computation of the volume of a particular type of three-dimensional solid, called a solid of revolution . A solid of revolution is obtained by revolving a region in the plane about a line. This line is called the axis of revolution . Revolving this rectangle, we get a disk—a hockey puck. Compute the volume of the disk: * cross-sectional area is the area of a = * width = Therefore, volume = Revolving a More General Region The volume of a solid of revolution is approximated by the of the The radius of each disc is R i = for some The width of each disk is The approximate volume of the solid of revolution is The exact volume of the solid of revolution is
Bob Brown Math 252 Calculus 2 Chapter 7, Section 2 Completed 2 CCBC Dundalk Note : In the case that the x -axis is the axis of revolution , then R(x) =