
How can I calculate the volume of an elipsoid using triple integrals ...
Nov 5, 2013 · The volume of the ellipsoid defined by the equation x² + y² + 5z² = 16 can be calculated using triple integrals. The discussion suggests using polar coordinates with the …
Calculating Volume of an Ellipsoid Using Spherical Coordinates
Nov 8, 2013 · Homework Statement find the volume of the ellipsoid x^2+y^2+5z^2=16 The Attempt at a Solution so I assume I must first change it to spherical coordinates. I figure I …
Finding the Volume of a Revolved Ellipse Using Calculus
Oct 29, 2007 · If a= b= r, your ellipsoid will be a sphere of radius r. Does \pi^2 r^2 give the volume of that sphere? Now I know after searching that the volume is given by integral (pi*y^2*dx), …
Find the volume of the ellipsoid - Physics Forums
Oct 22, 2005 · Ellipsoid intersected by cylinder Jul 26, 2014 Replies 10 Views 2K Finding the volume of an ellipsoid by using the volume of a sphere Aug 22, 2012 Replies 9 Views 10K …
Integration for the Volume of an Ellipsoid - Physics Forums
Feb 10, 2018 · Find volume of this object using integrals May 27, 2023 Replies 6 Views 2K Finding the volume of an ellipsoid by using the volume of a sphere Aug 22, 2012 Replies 9 …
Deriving Expression for Volume of Ellipsoid - Physics Forums
Feb 15, 2006 · I've been asked to derive an expression for the volume of an ellipsoid. I know what the expression is, I just don't know how to get there from the information given. All that is given …
Volume of an ellipsoid using double integrals • Physics Forums
Jul 7, 2013 · The volume of an ellipsoid defined by the equation x²/a² + y²/b² + z²/c² = 1 can be calculated using double integrals. The key approach involves projecting the ellipsoid onto the …
How can we find the volume of an ellipsoid using an integral?
Apr 27, 2006 · Well, I have a small problem. I know the general formula for the volume of an ellipsoid. But I have a task to find it with the help of an integral. Can you...
MHB Area of a given interval and volume of an ellipsoid
Feb 18, 2013 · After that I have to find the volume of this ellipsoid. So far I have a sketch of this ellipsoid, which was pretty easy because it's just each denominator's square root is the length …
Is f (x,y,z) = 8xyz for Maximizing Volume in Ellipsoid?
Nov 28, 2015 · regarding question number 10, we have h = f + λg where g is the constraint (the ellipsoid) and f is the function we need to maximize or minimize (the rectangular parallelpiped …