My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

Reply
 
LinkBack Thread Tools Display Modes
October 2nd, 2008, 08:04 PM   #1
 
Joined: Oct 2008

Posts: 1
Thanks: 0

Find the volume of the solid

Find the volume of the solid s

The base of S is an elliptical region with boundary curve 9x^2 + 4y^2 = 36. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.

Some help please
amiv4 is offline  
 
October 3rd, 2008, 02:29 PM   #2
 
Joined: Jul 2008

Posts: 895
Thanks: 0

Re: Find the volume of the solid

Unless I'm wrong, there is not sufficient information. I'm thinking it's an elliptical cone with the apex on the z-axis ...but it doesn't state how far along in that direction. You can't find volume if all you have is the base.
Dave is offline  
October 3rd, 2008, 02:51 PM   #3
Guest
 
Joined:

Posts: n/a
Thanks:

Re: Find the volume of the solid

Yes, Dave, we can find the volume. This is not a volume of revolution.

Here is a similar problem. Use this to see if you can figure out yours...OK.

"The base of a solid is the region enclosed by .

Every cross section perp. to the x-axis is an isosceles triangle with hypoteneuse across the base. Find the volume."

SOLUTION:

Use the formula for the area of the triangle and sub it into the integral.

We get



Can you try yours now?. You have an ellipse with minor axis of length 2 along the x-axis.

A lot of times we see these problems with semicircles as cross sections, squares, equilateral triangles, and so forth.

For a semicircle we would use the area of a semicircle, etc.
 
Reply

  My Math Forum > College Math Forum > Calculus

Tags
find, solid, volume


Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Find the volume of the solid obtained by rotating pjlloyd100 Calculus 1 January 30th, 2013 10:01 PM
volume of solid Aurica Calculus 1 June 11th, 2009 12:11 PM
find volume of solid alex83 Calculus 6 March 5th, 2009 09:58 AM
Find the volume of a solid mmmboh Calculus 1 November 2nd, 2008 04:54 PM
Help: Find the Volume of A Solid gretschduojet Calculus 1 August 18th, 2007 11:40 PM





Copyright © 2014 My Math Forum. All rights reserved.