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Chapter 13: Q 11. (page 1066)

To convert from cylindrical to spherical coordinates:

蚁=----,胃=----,蠒=----

Short Answer

Expert verified

蚁=r2+z2,胃=胃,蠒=tan-1rz

Step by step solution

01

Given Information

Given 蚁,胃,蠒are spherical coordinates and (r,胃,z)are cylindrical coordinates.

02

Simplification

The relation between two is:

蚁=r2+z2,胃=胃,tan蠒=rz

Hence,

蚁=r2+z2

胃=胃

and蠒=tan-1rz

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