05-03-Volume of Solids

Name:

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Use the disc method to determine the volume of the solid created by rotating the region bound by and the x-axis from x = 0 to x = 4 around the x-axis.

a.	cubic units	d.	cubic units
b.	cubic units	e.	cubic units
c.	cubic units	f.	None of these choices

Use the disc method to determine the approximate volume of the solid created by rotating the region bound by and the x-axis from x = 0 to x = 2 around the x-axis.

a.	cubic units	d.	cubic units
b.	cubic units	e.	None of these choices
c.	cubic units

Use the disc method to determine the approximate volume of the solid created by rotating the region bound by and the y-axis from y = 1 to y = 4 around the y-axis.

a.	cubic units	d.	cubic units
b.	cubic units	e.	None of these choices
c.	cubic units

Use the disc/washer method to determine the approximate volume of the solid created by rotating the region bound by the curve , the line , and the line rotated around the y-axis.

a.	6.894 cubic units	d.	8.336 cubic units
b.	7.181 cubic units	e.	None of these choices
c.	7.942 cubic units

Which definite integral below shows how to find the volume of the solid defined below using the shell method? The solid is created by rotating the region bounded in the first quadrant by and x-axis from to around the y-axis.

a.		d.
b.		e.
c.		f.

Let R be the region in the first quadrant bounded below by the graph of and above by the graph of . R is the base of a solid whose cross section perpendicular to the x-axis are squares. What is the approximate volume of the solid?
(use your calculator for the definite integral)

a.	0.129	d.	0.700
b.	0.300	e.	1.271
c.	0.333