Choose the general slicing method, the disk/washer method, or
the shell method to find the volume of the following solids.
The region bounded by the curves y=x+1, y=12/x, and y=1 is
revolved about the x-axis. What is the volume of the solid that is
generated?
Use the Disk/Washer Method to find the volume of the solid of
revolution formed by rotating the region about each of the given
axes.
14. Region bounded by: y=4 - x^2 and y=0.
(a) the x-axis (c) y= -1
(b)y=4 (d) x=2
AND
17. Region bounded by: y=1/ sqrt((x^2) +1), x= -1, x=1 and the
x-axis.
Rotate about:
(a) the x-axis (c) y= -1
(b) y=1
Use the shell method to find the volume of the solid generated
by revolving the region bounded by the line y equals 2x plus 3 and
the parabola y equals x squared about the following lines. a. The
line x equals 3 b. The line x equals minus 1 c. The x-axis d. The
line y equals 9
Find
the volume of the torus centered at the origin whose tube radius is
1 and whose distance from the origin to the center circle is 4. (By
Change variables)
Use either the disk method or the washer method to calculate the
volume of the solid formed by revolving the given region about the
given axis.
Region bounded by ? = ? ? + ?, ? = ?, and ? = ? about the
?-axis.
. Region bounded by ? = ? ? + ?, ? = ?, and ? = ? about the line
? = ?.
Give the formula for finding the volume of a solid of revolution
either by washer/disk method, or by shell method, and explain where
this formula comes from.
1. use the shell method to write and evaluate the definite
internal that represents the volume of the solid generated by
revolving the plan region about the x-axis. x+y^2=4
2. use the shell method find the volume of the solid generated
by revolving the region bounded by the graphs of the equations
about the given line. y=(x)^1/2. y=0 x=4. about the line x=6