Volume of Revolution - Maple Programming Help

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Volume of Revolution

Description

 

Calculate the volume of revolution for a solid of revolution when a function is rotated about the horizontal or vertical axis.

 

Enter the function as an expression and specify the range:

 

sinx cosx+1, 0..π2

sinxcosx+1,0..12π

(1)

 

Calculate the volume of revolution:

 

StudentCalculus1VolumeOfRevolution

π+916π2

(2)

 

Display the floating-point value using the evalf command:

 

evalf

8.693245131

(3)

 

Display a plot using the output=plot option:

 

StudentCalculus1VolumeOfRevolution, output=plot, scaling=constrained, caption=

 

Display the exact solution (integral form) using the output = integral option:

 

StudentCalculus1VolumeOfRevolution,output=integral

∫012ππsinxcosx+12ⅆx

(4)

 

Alternatively, you can use the Volume of Revolution tutor, a point and click interface.  You can launch the tutor in two ways:

• 

From the Tools menu, select Tutors, Calculus - Single Variable, and then Volume of Revolution.

• 

Use the following command to launch the tutor:

 

StudentCalculus1VolumeOfRevolutionTutor

Commands Used

Student[Calculus1][VolumeOfRevolution], Student[Calculus1][VolumeOfRevolutionTutor]

See Also

Student[Calculus1]