   Chapter 11.7, Problem 65E

Chapter
Section
Textbook Problem

# Cylindrical-to-Spherical Conversion In Exercises 63-70, convert the point from cylindrical coordinates to spherical coordinates. ( 4 , π 2 , 4 )

To determine

To calculate: The spherical coordinates from the cylindrical coordinates (4,π2,4).

Explanation

Given:

The cylindrical coordinate is:

(4,π2,4)

Formula used:

For the conversion of cylindrical coordinate into spherical coordinate following substitutiontakes place:

ρ=r2+z2θ=θφ=arccoszr2+z2

Calculation:

For cylindrical coordinates (4,π2,4)=(r,θ,z)

Therefore,

r=4,θ=π2,z=4

Since, ρ=r2+z2

Substitute the values from the above relations,

ρ=(4)2+(4)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Convert the expressions in Exercises 8596 radical form. 32x1/4

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In the problems 7-8, find the intercept and graph the functions 5x6y=30

Mathematical Applications for the Management, Life, and Social Sciences

#### Rewritten as an iterated integral in polar coordinates,

Study Guide for Stewart's Multivariable Calculus, 8th

#### Which is the largest? a) f(a) b) f(b) c) f(c) d) cannot tell from information given

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 