
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
September 13th, 2017, 04:38 PM  #1 
Member Joined: Feb 2017 From: East U.S. Posts: 40 Thanks: 0  Find the volume of the solid whose base is the region...
Find the volume of the solid whose base is the region in the xy plane bounded by y=x^2, y=9, and x=0, and whose cross sections perpendicular to the x axis are: a) squares b) rectangles with a height of 4 I missed a single class and this is on the homework which I have no idea how to do. I've never even heard of a cross section so I assume this is something they talked about in class. Can someone at least show me how to set up the problem and I think I can figure out the answer from there. Thanks, everyone. 
September 13th, 2017, 06:40 PM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,982 Thanks: 1575 
Hopefully, you've sketched the base of the described solids that lie in the xy plane. The side of the square crosssection for the first solid has length $(9x^2)$ ... $\displaystyle V = 2\int_0^3 (9x^2)^2 \, dx$ The second described solid has a rectangular crosssection with base $(9x^2)$ and height $4$ ... you set this one up. 
September 13th, 2017, 08:23 PM  #3  
Member Joined: Feb 2017 From: East U.S. Posts: 40 Thanks: 0  Quote:
$\displaystyle V = 2\int_0^3 4(9x^2) \, dx$  
September 14th, 2017, 03:23 AM  #4 
Math Team Joined: Jul 2011 From: Texas Posts: 2,982 Thanks: 1575  

Tags 
base, find, region, solid, volume 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Find the volume of the solid formed when the region bounded  Dylanrockin  Calculus  2  February 6th, 2017 06:46 AM 
find volume of solid  alex83  Calculus  6  March 5th, 2009 08:58 AM 
Find the volume of the region  bobber  Calculus  1  December 13th, 2008 06:54 AM 
Find the volume of a solid  mmmboh  Calculus  1  November 2nd, 2008 03:54 PM 
Help: Find the Volume of A Solid  gretschduojet  Calculus  1  August 18th, 2007 11:40 PM 