how to find a for solids of revolution : if cross-section is a disk
DESCRIPTION
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 PresentationTRANSCRIPT
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