My Math Forum  

Go Back   My Math Forum > High School Math Forum > Geometry

Geometry Geometry Math Forum


Reply
 
LinkBack Thread Tools Display Modes
July 21st, 2017, 09:58 AM   #1
Senior Member
 
Joined: Oct 2013
From: New York, USA

Posts: 541
Thanks: 77

Is There A Proof Of This About The Volume Of Cones and Spheres?

Take a cone with equal radius and height, so the (r^2)h can be written as r^3. Based on the 4/3 and 1/3 coefficients in the volume formulas, a sphere with that radius will have four times the volume of the cone. Is there a proof that if you took four identical cones with equal radius and height and could make the material into whatever shape you wanted it could make a sphere with the same radius as each cone?
EvanJ is offline  
 
July 21st, 2017, 07:36 PM   #2
Senior Member
 
Joined: May 2016
From: USA

Posts: 760
Thanks: 304

I suspect there is a simple proof through integral calculus.
JeffM1 is offline  
Reply

  My Math Forum > High School Math Forum > Geometry

Tags
cones, proof, spheres, volume



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
sewing conundrum concerning cones thewitchmaker Geometry 1 January 28th, 2015 04:19 PM
About Triangles in Cones Correia Algebra 2 July 14th, 2013 08:13 AM
intersection of two cones white_flag Algebra 2 July 30th, 2012 06:46 AM
Find the point in the center of the volume of two spheres 1101 Algebra 0 June 10th, 2010 07:44 PM
Polynomials and Cones AdamL12 Abstract Algebra 9 November 15th, 2007 01:44 PM





Copyright © 2017 My Math Forum. All rights reserved.