Name:Justin Schneidt
Thomas Edison State College
Calculus II (MAT-232)
Section no.:GS004
Semester and year:September 2016
Written Assignment 1
Answer all assigned exercises, and show all work. Each exercise is worth 5 points.
Section 5.2
2.
Find the volume of the solid with cross-sectional area
A
(
x
).
6.
Find the volume of a pyramid of height 160 feet that has a square base of side 300
feet. These dimensions are half those of the pyramid in example 2.1. How does the
volume compare?
10.
A dome “twice as big” as that of exercise 9 (see text) has outline
2
(units of feet). Find its volume.
12.
A pottery jar has circular cross sections of radius
2
4
sin
x
inches for
0
2 .
x
Sketch
a picture of the jar and compute its volume.
18.
Compute the volume of the solid formed by revolving the region bounded by
2
2
,
4
y
x
y
x
about (a) the
x
-axis; (b)
y
= 4.
20.
Compute the volume of the solid formed by revolving the region bounded by
2
y
x
and
2
x
y
about (a) the
y
-axis; (b)
x
= 1.
