volume V(R,T,W) axis of revolution R

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...
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1. Use calculus to determine what is the
volume V (R, T, W)
axis of revolution
R
T
Transcribed Image Text:1. Use calculus to determine what is the volume V (R, T, W) axis of revolution R T
This project deals with the custom-made wedding band shown here. The shape is obtained by revolving
rectangular region A around a vertical axis. The resulting band has an inner radius of R, a minimum thickness
T, and a width of W. The curved boundary of the region A is an arc of a circle whose center lies on the axis of
revolution. For a typical wedding band we might have (with units in mm)
6 ≤R≤ 12
0.5 ≤ T ≤ 1.5
4≤W ≤ 10
axis of revolution
R
T
Transcribed Image Text:This project deals with the custom-made wedding band shown here. The shape is obtained by revolving rectangular region A around a vertical axis. The resulting band has an inner radius of R, a minimum thickness T, and a width of W. The curved boundary of the region A is an arc of a circle whose center lies on the axis of revolution. For a typical wedding band we might have (with units in mm) 6 ≤R≤ 12 0.5 ≤ T ≤ 1.5 4≤W ≤ 10 axis of revolution R T
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