Transcript
![Page 1: How to find A for solids of revolution : if cross-section is a disk](https://reader035.vdocuments.mx/reader035/viewer/2022062720/56813502550346895d9c5009/html5/thumbnails/1.jpg)
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:
![Page 2: How to find A for solids of revolution : if cross-section is a disk](https://reader035.vdocuments.mx/reader035/viewer/2022062720/56813502550346895d9c5009/html5/thumbnails/2.jpg)
Not solids of revolution:
![Page 3: How to find A for solids of revolution : if cross-section is a disk](https://reader035.vdocuments.mx/reader035/viewer/2022062720/56813502550346895d9c5009/html5/thumbnails/3.jpg)
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
![Page 4: How to find A for solids of revolution : if cross-section is a disk](https://reader035.vdocuments.mx/reader035/viewer/2022062720/56813502550346895d9c5009/html5/thumbnails/4.jpg)