Aug 20, 2015 · 15 Volume is non-unique. Therefore, the smooth structure of a smooth, compact manifold is not enough for the manifold to have a canonical volume. What can happen is, that …

Aug 11, 2017 · The volume of sphere using integrals Ask Question Asked 8 years, 2 months ago Modified 1 year, 7 months ago

Oct 11, 2015 · 1 Because the infinitesimal volume element in generic coordinates is generally a prism, so its volume is the magnitude of the vector product of its edge vectors. This can be …

May 5, 2017 · The exercise is to derive the formula for the rotation of a polar curve of the form $ r = r ( \\theta ) $ about the $ x $ - axis. When I asked my lecturer, he suggested that I consider a …

Aug 4, 2017 · The rate of change of the volume of the sphere is equal to the surface area of the sphere. The outside of the paint is the new boundary of the sphere, and the inside of the paint …

Volume of cylinder with two different radius and one height [closed] Ask Question Asked 9 years ago Modified 5 years, 2 months ago

Sep 2, 2020 · I was asked to explain why the volume of a sphere is $\\frac{4}{3}\\pi r^3$ to a student that does not have the knowledge of calculus. In doing so I thought of an argument …

Dec 28, 2021 · I know the approach needed to solve this problem. I only confusion I have about this problem is the calculation of the volume of the stack which I believe is the trapezoidal …

Oct 13, 2016 · The volume for truncated pyramid with irregular base Ask Question Asked 9 years ago Modified 6 years, 10 months ago

What is the Definition of Volume? Volume is most commonly described as capacity. It is that particular quantity that describes the capacity of an object in free space. In other words, the …