My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
April 14th, 2017, 03:54 PM   #1
Member
 
Joined: Jan 2017
From: Toronto

Posts: 50
Thanks: 0

Calculating three intersecting cylinders

Three cylinders of radius 1 intersect at right angles at the origin, as shown in the picture
Find the volume contained inside all three cylinders.

ps: what tool do you all use to inject math symbols here?


Answer: 16 - 8sqrt(2)

This is what I come up but again incorrect...

$\displaystyle \int_{-1}^{1}\int_{y=-\sqrt{1 - x^2}}^{y=\sqrt{1 - x^2}}\int_{z=-\sqrt{1 - y^2}}^{z=\sqrt{1 - y^2}} dzdydx $
Attached Images
File Type: jpg screen.jpg (18.3 KB, 6 views)

Last edited by zollen; April 14th, 2017 at 03:58 PM.
zollen is offline  
 
Reply

  My Math Forum > College Math Forum > Calculus

Tags
calculating, cylinders, intersecting



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Question about cylinders? meyllison Geometry 1 May 27th, 2016 05:10 AM
Deriving Equation for Intersecting Cylinders Surface Area Mearntain Calculus 3 March 15th, 2016 05:03 AM
Calculating intersecting lines in 3D SoulRyder Computer Science 2 May 4th, 2014 11:37 AM
Collision point of 2 cylinders zalb8991 Algebra 0 October 22nd, 2013 05:33 AM
Two intersecting lines - calculating intersection point? ben Algebra 2 June 21st, 2008 04:45 AM





Copyright © 2017 My Math Forum. All rights reserved.