Volume of a Solid of Revolution



Problem

S is a surface generated by revolving a line segment AB about z-axis where A is (2,-1,0) and B is (1,2,3). Find the volume of the solid surrounded by S, z=0, and z=3.

Applet


Rotation
"Animate" button shows the revolution of the line segment about the z-axis.
A Cross-Section
It shows the solid of revolution and a cross-section.
To move the cross-section, click "+" and "-" button.

Solution


Real Model



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