6.2 volume Flashcards

1
Q

when and how to use disk method

A

y(x) given revolving around x axis aka y=something
x(y) given revolving around y axis aka x=something
V=π∫[r(x)]^2dx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

when and how to use washer method

A

same as disk, outer disk-inner disk
y(x) given around y=something
x(y) given around x=something
V=π∫([R(x)]^2–[r(x)]^2)dx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

how to do volume of solids w known cross sections

A

With known area function A(x)
V=∫A(x)dx or for y

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

when and how to do shell method

A

representative rectangle of shell is parallel to axis of revolution
V=2π∫r(y)h(y)dy revolving around y=something and switch for x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly