How to find A for solids of revolution : if cross-section is a disk
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to find A for solids of revolution : if cross-section is a disk if cross-section is a washer 2 2 2 ) ( ) ( ) ( radius inner radius outer A radius A b a b a dy y A V or dx x A V ) ( ) ( me of solids by circular cylinders:
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Volume of solids by circular cylinders:. How to find A for solids of revolution : if cross-section is a disk if cross-section is a washer. Not solids of revolution:. Volume of solids by cylindrical shells:. Region bounded by y=f(x) 0, y=0, x=a, x=b . Rotation about y -axis. - PowerPoint PPT Presentation
Transcript of How to find A for solids of revolution : if cross-section is a disk
How to find A for solids of revolution:
if cross-section is a disk
if cross-section is a washer22
2
)()(
)(
radiusinnerradiusouterA
radiusA
b
a
b
a
dyyAVordxxAV )()(Volume of solids by circular cylinders:
Not solids of revolution:
Volume of solids by cylindrical shells:
hrrhrrrr
hrhrVVV
2)(2
2 12212
12
212
Region bounded by y=f(x)0, y=0, x=a, x=b. Rotation about y-axis.
dxxfxVb
a
)(2