A decorative oak post is 36 inches long and is turned on a lathe so that its profile is sinusoidal as shown in the figure below. S&S In this figure, ro 3 inches and do 12 inches. (a) Describe the surface of the post parametrically using cylindrical coordinates and the parameters a and t z(s, t) v(s, t) (s, t) and where and K (b) Find the volume of the post. volume- ao
A decorative oak post is 36 inches long and is turned on a lathe so that its profile is sinusoidal as shown in the figure below. S&S In this figure, ro 3 inches and do 12 inches. (a) Describe the surface of the post parametrically using cylindrical coordinates and the parameters a and t z(s, t) v(s, t) (s, t) and where and K (b) Find the volume of the post. volume- ao
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A decorative oak post is 36 inches long and is turned on a lathe so that its profile is sinusoidal as shown in the figure below.
In this figure, To 3 inches and do
(a) Describe the surface of the post parametrically using cylindrical coordinates and the parameters and t
x(s, t)
y(s, t)
z(s, t)
and
where
and
st≤1
(b) Find the volume of the post.
volume =
(include units.)
ao
12 inches.
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