Volume Lab Name(s) ____________________
Section 5.2
Revolve the region in Quadrant I bounded by �� = −��2 + 18, �� = √��, ������ �� = 0 about each of the
following axis. Feel free to use extra paper as needed. For each axis of revolution, include the following:
a) Sketch the region and appropriate radii and/or heights.
b) Write the method you chose to use to set up the integral to represent the volume.
c) Write an integral to represent the volume of the solid.
d) Use Maple to evaluate your integral. You do not have to turn in your Maple file, but you do have to write the answer
you got by using Maple for each problem.
a) Revolve the region about the x-axis. V= 16192π/15
b) Revolve the region about the y-axis. V= 3712π/15
c) Revolve the region about the line x = -4. V= 14528π/15
d) Revolve the region about the line x = 6. V= 6016π/15
e) Revolve the region about the line y = -2. V= 19312π/15
f) Revolve the region about the line y = 20. V= 12544π/15