   Chapter 11, Problem 68RE

Chapter
Section
Textbook Problem

# Converting Rectangular Coordinates In Exercises 67 and 68, convert the point from rectangular coordinates to (a) cylindrical coordinates and (b) spherical coordinates. ( 3 4 , 3 4 , 3 3 2 )

(a)

To determine

To calculate: Thepoint (34,34,332) incylindrical coordinates from rectangular coordinates.

Explanation

Given:

The point in rectangular coordinates is (34,34,332).

Formula used:

Conversion equations to convert a point from rectangular coordinates (x,y,z) to cylindrical coordinates (r,θ,z) are,

r2=x2+y2tanθ=yxz=z

Calculation:

Use conversion equations to convert the point (34,34,332) from rectangular to cylindrical coordinates by substituting the value of x=34 and y=34 in the equations r2=x2+y2 and tanθ=yx as,

r2=x2+y

(b)

To determine

To calculate: The point (34,34,332) inspherical coordinates from rectangular coordinates.

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