This preview shows pages 1–3. Sign up to view the full content.
AP Calculus AB
Worksheet:
Volumes

1
1
x

1
1
y
R
1
R
2
R
3
y
=
x
y
=
x
2
Let
R
1
be the region in the first quadrant bounded by y = x, the yaxis, and the line y = 1.
Let
R
2
be the region in the first quadrant bounded by y =
x
2
and y = x.
Let
R
3
be the region in the first
quadrant bounded by y =
x
2
, the xaxis, and the line x = 1.
Write an integral expression for the volume of the solid described.
Do not evaluate.
1.
The volume of the solid generated by revolving
R
3
about the xaxis.
2.
The volume of the solid generated by revolving
R
2
about the xaxis.
3.
The volume of the solid generated by revolving
R
1
about the xaxis.
WorksheetVolumes.nb
1
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document4.
The volume of the solid generated by revolving
R
1
about the line y = 1.
5.
The volume of the solid generated by revolving
R
2
about the line y = 1.
6.
The volume of the solid generated by revolving
R
3
about the line x = 1.
7.
The volume of the solid generated by revolving
R
1
about the line y = 1.
8.
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 Grether
 Calculus

Click to edit the document details