Let E be the smallest region enclosed by x² + y² (note, it is the same region as in Question 8). Then, using spherical coordinates we can compute the volume of E as bd t Vol(E) = [[[ F(p, 0, 0) dø dê dp, a cs where F(p, 0, 0) = a = b = C = d = 8 = t = the cone z = and the sphere x² + y² + z² = 32

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let E be the smallest region enclosed by
x² + y²
(note, it is the same region as in Question 8). Then, using spherical coordinates we can compute the volume of E as
bd t
Vol(E) = [[[ F(p, 0, 0) dø dê dp,
a cs
where F(p, 0, 0) =
a =
b =
C =
d =
8 =
t =
the cone
z =
and the sphere x² + y² + z² = 32
Transcribed Image Text:Let E be the smallest region enclosed by x² + y² (note, it is the same region as in Question 8). Then, using spherical coordinates we can compute the volume of E as bd t Vol(E) = [[[ F(p, 0, 0) dø dê dp, a cs where F(p, 0, 0) = a = b = C = d = 8 = t = the cone z = and the sphere x² + y² + z² = 32
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