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 volume of an …

Dec 6, 2024 · 1 "Spheres have the smallest surface area to volume ratio of any solid" is true in some way, but you are getting it wrong. The fact is, for a given volume, the sphere is the shape with the …

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 prism (or …

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 is added to the …

May 7, 2014 · Everything becomes clear if you study analysis on manifolds: you will learn the precise meaning of the volume element and how it behaves under changes of coordinates.

Jun 8, 2019 · Volume of a sphere using cartesian coordinates Ask Question Asked 6 years, 5 months ago Modified 5 years, 4 months ago

Weight-Volume Relationships Weight-Volume relationships have significant importance in the field of soil mechanics and foundation engineering. The weight-volume relationship is a basic concept upon …

Jun 20, 2020 · 1 I have a test in a couple of hours and i dont know how to do volume questions please help me out with thiss pleasee The base of a particular solid S is a circular disk ( a "filled in circle") …

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 computed as the …

The volume of the largest box under the given constraints. So: Answer. The largest possible volume for a box with a square bottom and no top that is constructed out of 1200 $\mathrm {cm}^2$ of material …