How do I set up a triple integral using cylindrical coordinates?

Click For Summary
To set up a triple integral using cylindrical coordinates, one should first identify the appropriate function and limits for integration. The function z = r is suggested for integration, indicating a relationship between the variables. A double integral approach is recommended, focusing on suitable ranges for r and theta. Understanding when to use cylindrical coordinates over Cartesian or spherical systems is crucial for solving the problem effectively. This method simplifies the integration process for functions defined in cylindrical geometry.
-EquinoX-
Messages
561
Reaction score
1

Homework Statement



http://img3.imageshack.us/img3/7558/47586628.th.jpg

Homework Equations





The Attempt at a Solution



I am quite confused whether I should use cartesian, cylindrical, and spherical coordinate.. how do I approach this problem
 
Last edited by a moderator:
Physics news on Phys.org
Use cylindrical coordinates. Hint: Integrate the function z=r over a suitable range of r and theta (this will be a double integral).
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
View full post »

Similar threads

Cylindrical Coordinates Triple Integral -- stuck in one place
  • · Replies 1 ·
Replies
1
Views
2K
The volume of a "spherical cap" using triple integrals
  • · Replies 9 ·
Replies
9
Views
2K
Triple integral in cylindrical coordinates
  • · Replies 2 ·
Replies
2
Views
2K
Center of Mass Using Triple Integrals Question
  • · Replies 4 ·
Replies
4
Views
3K
Is the Triple Integral in Cylindrical Coordinates Correctly Solved?
  • · Replies 12 ·
Replies
12
Views
2K
Bounded regions and triple integrals
  • · Replies 6 ·
Replies
6
Views
2K
Change integration limits for cylindrical to cartesian coord
  • · Replies 1 ·
Replies
1
Views
1K
Volume of ice cream cone triple integral
  • · Replies 6 ·
Replies
6
Views
3K
How to set bounds in cylindrical coordinates analytically?
  • · Replies 4 ·
Replies
4
Views
2K
Spherical and Cylindrical Triple Integral Conversion: Homework Problem
  • · Replies 1 ·
Replies
1
Views
1K