Formula For Diameter Of Cylinder Using Height/Volume.

• Insights Blog -- Browse All Articles -- Physics Articles Math Articles Education Articles Bio/Chem/Tech Articles
• Forums General Math Calculus Differential Equations Topology and Analysis Linear and Abstract Algebra Differential Geometry Set Theory, Logic, Probability, Statistics MATLAB, Maple, Mathematica, LaTeX
• Trending

Log in Register What's new

• General Math
• Calculus
• Differential Equations
• Topology and Analysis
• Linear and Abstract Algebra
• Differential Geometry
• Set Theory, Logic, Probability, Statistics
• MATLAB, Maple, Mathematica, LaTeX

Menu Log in Register Navigation More options Style variation System Light Dark Contact us Close Menu You are using an out of date browser. It may not display this or other websites correctly.You should upgrade or use an alternative browser.

• Forums
• Mathematics
• General Math

Formula for Diameter of Cylinder Using Height/Volume.

• Context: High School
• Thread starter Thread starter Jordin
• Start date Start date Mar 22, 2008
• Tags Tags Cylinder Diameter Formula

Click For Summary

Discussion Overview

The discussion revolves around finding the formula for the diameter of a cylinder using its volume and height. Participants explore various approaches and formulations, including mathematical reasoning and clarifications regarding the relationship between diameter, radius, volume, and height.

Discussion Character

• Mathematical reasoning
• Technical explanation
• Homework-related

Main Points Raised

• One participant presents a formula for the diameter as D = Square Root of (4V/H/Pi) based on the volume formula for a cylinder.
• Another participant confirms the formula D = \sqrt{ \frac{4V}{h\pi}} and suggests it is straightforward, but notes it could be expressed in terms of the radius.
• A later post requests an explanation of the formula in terms of the radius, indicating difficulty with square roots.
• Another participant attempts to derive the formula but initially expresses uncertainty about their approach, later refining their method to relate volume, height, and radius.
• One participant provides the volume formula V = \pi r^2 h and derives the radius formula, leading to the diameter formula as d = 2\sqrt{\frac{V}{\pi h}}.

Areas of Agreement / Disagreement

Participants generally agree on the formula for the diameter but express varying levels of comfort with the mathematical operations involved. There is no consensus on the easiest method to derive or express the diameter in relation to the radius.

Contextual Notes

Some participants express uncertainty about their calculations and the clarity of their formulas. There are also indications of varying levels of mathematical proficiency among participants, which may affect their interpretations and applications of the formulas discussed.

Who May Find This Useful

This discussion may be useful for individuals seeking to understand the relationships between volume, height, and diameter in cylindrical geometry, particularly students or those working on related mathematical problems.

Jordin Messages 1 Reaction score 0 I need the formula for finding the Diameter of a Cylinder using it's Volume and Height. Thanks! Here is the problem. Find Diameter of Cylinder. Volume = 1256.64 Height = 16 Inches Diameter = ? On my own... Knowing Volume = (Pi x Diameter Squared x Height) Divide by 4 I came up with this formula for D? D = Square Root of (4V/H/Pi) Plugging in the numbers... D = 10 Inches? Is there an easier formula? Last edited: Mar 22, 2008 Mathematics news on Phys.org

• Putting sports stats to the test: Unpredictable play helps pick a winner in soccer
• How choices made by crowds in a train station are guided by strangers
• Why some tunes stick: Mathematical symmetry helps explain catchy melodies

Gib Z Homework Helper Messages 3,341 Reaction score 7 Well, what is the Cylinders volume is given by the product of the base circles area and its height. What is the circles area given by, in terms of the radius? How are the radius and diameter related? PS: Welcome to Physics forums! =] Gib Z Homework Helper Messages 3,341 Reaction score 7 Well you that right, D= \sqrt{ \frac{4V}{h\pi}}. Easiest formula there is lol. Would look nicer in terms of the radius though. #38 Messages 2 Reaction score 0 I know this thread is old but it is the only one I could find that is most relevant to my problem. Can you explain it in terms of the radius? I am trying to figure out the same type of problem and am horrid with roots. I need to find the diameter given H=10m and V=125.6m cubed #38 Messages 2 Reaction score 0 Here is the formula I used to figured it but I think it is wrong. (I don't know how to do all the fancy stuff so I will just type it out.) v/h over Pi=r squared Edit: I think I got it figured now New formula I am using is v/h*Pi= r squared Find the square root of r squared then multiply * 2 for the diameter Last edited: Mar 7, 2010 HallsofIvy Science Advisor Homework Helper Messages 42,895 Reaction score 983 The volume of a cylinder of height h and radius r is V= \pi r^2h. To solve that for the radius, divide both sides by \pi h and take the square root: r= \sqrt{\frac{V}{\pi h}[/itex]<br /> <br /> The diameter is twice the radius, of course, so <br /> d= 2\sqrt{\frac{V}{\pi h}= \sqrt{4V}{\pi h}[/itex] &lt;br /&gt; because \sqrt{4}= 2.

Similar threads

Undergrad Optimization problem with multiple outputs: impossible?

• Sep 26, 2023 · Replies 6 · Oct 26, 2023

Replies 6 Views 3K High School Complete the square, yes, but what does it mean?

• Sep 19, 2023 · Replies 19 · Oct 2, 2023

Replies 19 Views 3K MHB How Long to Empty Lake Erie with a Cone Cup?

• Sep 27, 2016 · Replies 2 · Oct 5, 2016

Replies 2 Views 2K Undergrad Warm-up time for a hollow cylinder

• Jul 20, 2023 · Replies 5 · Jul 23, 2023

Replies 5 Views 3K Volume of Object with Diameter 0.184 cm & 0.916 cm, Height 2.33 cm & 13.6 cm

• Sep 7, 2016 · Replies 14 · Sep 8, 2016

Replies 14 Views 2K High School Volume of paraboloid in a cylinder

• Oct 17, 2020 · Replies 2 · Oct 17, 2020

Replies 2 Views 3K The volume of a "spherical cap" using triple integrals

• Apr 14, 2025 · Replies 9 · Apr 18, 2025

Replies 9 Views 2K Doublet flow in Fluid Dynamics between two spheres or cylinders

• Jul 2, 2025 · Replies 0 · Jul 2, 2025

Replies 0 Views 2K Volume of Cylinders: Find V w/ Pi r2h

• Jul 31, 2016 · Replies 2 · Aug 1, 2016

Replies 2 Views 2K What is the density of the constantan wire?

• Jan 7, 2018 · Replies 6 · Jan 8, 2018

Replies 6 Views 2K

• Forums
• Mathematics
• General Math

Hot Threads

• 

  Undergrad Trigonometry problem of interest

  • Started by Charles Link
  • Oct 18, 2025
  • Replies: 81
  • General Math
• 

  High School Area of Overlapping Squares

  • Started by bob012345
  • Dec 6, 2025
  • Replies: 10
  • General Math
• 

  Undergrad Find the Number of Triangles

  • Started by bob012345
  • Dec 29, 2025
  • Replies: 33
  • General Math
• 

  Undergrad Three Circle Problem

  • Started by bob012345
  • Feb 3, 2026
  • Replies: 14
  • General Math
• 

  Geometric Game: Fun With Matches (Safe!)

  • Started by bob012345
  • Jan 28, 2026
  • Replies: 40
  • General Math

Recent Insights

• 

  Insights Remote Operated Gate Control System

  • Started by Greg Bernhardt
  • Saturday, 4:29 PM
  • Replies: 0
  • General Engineering
• 

  Insights AI Enriched Problem Solving

  • Started by Greg Bernhardt
  • Saturday, 4:28 PM
  • Replies: 1
  • General Math
• 

  Insights Thinking Outside The Box Versus Knowing What’s In The Box

  • Started by Greg Bernhardt
  • Oct 13, 2025
  • Replies: 27
  • Other Physics Topics
• 

  Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

  • Started by Greg Bernhardt
  • Sep 29, 2025
  • Replies: 28
  • Quantum Interpretations and Foundations
• 

  Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

  • Started by Greg Bernhardt
  • Sep 2, 2025
  • Replies: 22
  • Quantum Physics
• 

  Insights What Exactly is Dirac’s Delta Function? - Insight

  • Started by Greg Bernhardt
  • Sep 2, 2025
  • Replies: 33
  • General Math

Back Top