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Chapter

Student Handout Lesson 29Exam


Department
Civil Engineering
Course Code
CE 2450
Professor
All

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Section(9.3(Theorems(of(Pappus(and(Guldinus(
(
Surface(Area:((Revolving)a)plane)curve)about)an)axis)that)does)not)intersect)the)curve)generates)a)
surface)area)of)revolution.)
)
First(Theorem(of(Pappus(and(Guldinus(
The)area)of)a)surface)of)revolution)equals)the)product)of)the)length)of)the)generating)curve)and)the)
distance)traveled)by)the)centroid)of)the)curve)in)generating)the)surface)area.)
(
(
A=
θ
r L
(
A)=)surface)area)of)revolution)
θ)=)angle)of)revolution)measured)in)radians,)θ)≤)2π)
r)=)perpendicular)distance)from)the)axis)of)revolution)to)the)centroid)of)the)generating)curve)
L)=)length)of)generating)curve)
)
For(composite(shapes(
A=
θ
˜
r L
( )
)
)
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