~CALC2WA1 - Name:Justin Schneidt Thomas Edison State...

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.