   Chapter 11.7, Problem 74E

Chapter
Section
Textbook Problem

# Spherical-to-Cylindrical Conversion In exercises 71-78, convert the point from spherical coordinates to cylindrical coordinates. ( 18 , π 3 , π 3 )

To determine

To calculate: The Cylindrical coordinates from given spherical coordinates (18,π3,π3).

Explanation

Given:

The spherical coordinate is:

(18,π3,π3)

Formula used:

For the conversion of spherical coordinate into cylindrical coordinate following substitution takes place:

r2=ρ2sin2φθ=θz=ρcosφ

Calculation:

For spherical coordinates,

(18,π3,π3)=(ρ,θ,φ).

Therefore,

ρ=18,θ=π3,φ=π3

Since, r2=ρ2sin2φ

Substitute the values from the above relations,

r2=<

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