Appendix
A-5: Evaluation
Example A-5.3
The volume of a right circular cone is V=π r2 h/3. If the radius is proportional to the height, and the height is 2, evaluate V at r=α h, then set h = 2 . (This is known as sequential substitution.)
Solution
Maple Solution - Interactive
Control-drag (or type) the equation V=…
Context Panel: Assign Name
V=π r2 h/3→assign
Expression palette: Evaluation template Evaluate V at r=α h.
Context Panel: Evaluate at a Point≻h=2
Vx=a|f(x)r=α h = 13πα2h3→evaluate at point83πα2
The eval command (implemented in the evaluation template) does not support sequential substitution. Sequential substitutions have to be made as separate evaluations.
Maple Solution - Coded
Assign the volume expression to V.
V≔π r2 h/3
Use two eval commands.
evalevalV,r=α h,h=2
The subs command supports sequential replacement from left to right.
subsr=α h,h=2,V
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