Let E be the solid enclosed by the sphere æ² + y² + (z – 3)² = 9 above the plane z = 2. The volume of E in spherical coordinates is %3D 2 II p* sin(4) dp dø do AP Find a, b, and c. A: pi/6 pi/3 pi/4

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 solid enclosed by the sphere æ² + y² + (z – 3)² = 9 above the plane z = 2. The
%3D
volume of E in spherical coordinates is
2
IIT P sin(ø) dp dộ dô
AP
Find a, b, and c.
A: pi/6
pi/3
pi/4
arccos(1/3)
arccos(1/sqrt(3))
B: 2
3cos(phi)
2sec(phi)
6cos(phi)
2csc(phi)
С: 2
2csc(phi)
2sec(phi)
6cos(phi)
3cos(phi)
Transcribed Image Text:Let E be the solid enclosed by the sphere æ² + y² + (z – 3)² = 9 above the plane z = 2. The %3D volume of E in spherical coordinates is 2 IIT P sin(ø) dp dộ dô AP Find a, b, and c. A: pi/6 pi/3 pi/4 arccos(1/3) arccos(1/sqrt(3)) B: 2 3cos(phi) 2sec(phi) 6cos(phi) 2csc(phi) С: 2 2csc(phi) 2sec(phi) 6cos(phi) 3cos(phi)
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