volume of solids of revolution

 

 

Example 1: Sphere

 

Example 2: Cylinder

 

 

Exercises:

1.- Calculate the formula of the volume of an ellipsoid

2.- Calculate the volume of the paraboloid generated by the graph of the function y = √x spinning around the abscissa axis between 0 and 3

 

 

 

 

Solutions: 1) (4/3)∏ab2 u3 ; 2) 9∏/2 u3

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