April 29th, 2019, 03:01 AM  #1 
Newbie Joined: Apr 2019 From: Philippines Posts: 4 Thanks: 0  Really need help
I'm really confused about the performance task my teacher gave us, we need to select an object and find its area and volume using integration and I don't know what object to use

April 29th, 2019, 03:15 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,747 Thanks: 2133 
You could use a cube. The integrals will then be very easy to evaluate.

April 29th, 2019, 04:09 AM  #3 
Newbie Joined: Apr 2019 From: Philippines Posts: 4 Thanks: 0 
Thank you

April 29th, 2019, 06:47 PM  #4 
Newbie Joined: Apr 2019 From: Philippines Posts: 4 Thanks: 0 
Can we also get the centroid and length of arc using integration?

April 30th, 2019, 04:23 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 20,747 Thanks: 2133 
Yes, but do you mean for separate objects?

April 30th, 2019, 05:47 AM  #6 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,156 Thanks: 731 Math Focus: Physics, mathematical modelling, numerical and computational solutions  
April 30th, 2019, 12:24 PM  #7 
Newbie Joined: Feb 2019 From: United Kingdom Posts: 27 Thanks: 3 
Choose a cylinder and sphere. It will demonstrate Archimedes was one of the first to show volume is a limit process. By the way, how are you associating arc length with a geometric figure? Do you want to determine the length of a side or something? 