My Math Forum Calculating three intersecting cylinders
 User Name Remember Me? Password

 Calculus Calculus Math Forum

April 14th, 2017, 04:54 PM   #1
Senior Member

Joined: Jan 2017
From: Toronto

Posts: 163
Thanks: 2

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
 screen.jpg (18.3 KB, 6 views)

Last edited by zollen; April 14th, 2017 at 04:58 PM.

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post meyllison Geometry 1 May 27th, 2016 06:10 AM Mearntain Calculus 3 March 15th, 2016 06:03 AM SoulRyder Computer Science 2 May 4th, 2014 12:37 PM zalb8991 Algebra 0 October 22nd, 2013 06:33 AM ben Algebra 2 June 21st, 2008 05:45 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top