Finding th value of x and radian when volume is maximum

  • Context: Graduate 
  • Thread starter Thread starter gohanhope
  • Start date Start date
  • Tags Tags
    Maximum Value Volume
Click For Summary

Discussion Overview

The discussion revolves around finding the value of x and the corresponding radian when the volume of a certain shape is maximized. It involves mathematical reasoning related to optimization through differentiation.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant suggests differentiating the volume function with respect to x and setting the derivative equal to zero to find the maximum volume.
  • Another participant expresses uncertainty about the approach and seeks clarification.

Areas of Agreement / Disagreement

The discussion does not indicate a consensus, as one participant is unsure about the method proposed.

Contextual Notes

Limitations: The specific form of the volume function and the assumptions regarding the variables involved are not provided, which may affect the applicability of the differentiation approach.

gohanhope
Messages
3
Reaction score
0
　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　
 
Last edited:
Physics news on Phys.org
You can derivate the given function of volume with respecting to x
dV/dx = 0, solve the equation. Then the result follow.
 
thank you. i wasn't sure.
 

Similar threads

MHB What is the Absolute Maximum Value of f in the Function f(x) = ln(x)/x?
  • · Replies 5 ·
Replies
5
Views
3K
MHB Maximum and minimum of a function
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Finding the maximum of a function
  • · Replies 2 ·
Replies
2
Views
1K
High School Modelling object w/ functions, how to find volume loss from indents?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Volume of Solid of Revolution (About the line y = x)
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Does the maximum value of the following integral exist?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Find maximum area of a triangle
  • · Replies 1 ·
Replies
1
Views
1K
MHB Finding maximum/minimum values?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Question about Integrals to Determine Volume vs Surface Area
  • · Replies 5 ·
Replies
5
Views
4K
High School Volume of paraboloid in a cylinder
  • · Replies 2 ·
Replies
2
Views
3K