Answers
Areaof a Surfaceof Revolution
LearningObjectives
A studentwill be able to:
- Learnhow to find the area of a surfacethat is generatedby revolvinga curveaboutan axis or a line.
In this sectionwe will deal with the problemof findingthe area of a surfacethat is generatedby revolvinga
curveaboutan axis or a line. For example,the surfaceof a spherecan be generatedby revolvinga semicircle
aboutits diameter(Figure19) and the circularcylindercan be generatedby revolvinga line segmentabout
any axis that is parallelto it (Figure20).