_________________________________________________________________________________
Calculus II Quiz
#5 March
17, 2003
Name____________________ R. Hammack Score
______
_________________________________________________________________________________
(1) Consider the region contained between
the graphs of ,
,
and
.
This region is revolved around the x-axis.
Find the volume of the resulting solid.
The cross section at x is a circle of radius so
the cross sectional area is
.
Using the slicing formula, the volume is
cubic units.
(2)
Consider the region contained between the graphs of ,
, y=1, and
.
This region is revolved around the x-axis.
Find the volume of the resulting solid.
Using the formula for volumes by shells,
cubic
units