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  1. Volume of Trapezoidal Prism - Mathematics Stack Exchange

    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 …

  2. calculus - Volume of a solid with base of circular disk, parallel ...

    Working on a problem of volume using integration: The problem is this: The base of is a circular disk with radius . Parallel crosssections perpendicular to the base are squares.

  3. Maximum volume of a box - Mathematics Stack Exchange

    Feb 21, 2021 · Can you help me understand how you got to (62-w-h)h-wh = 0? (Step 2, first formula). Where did h-wh come from? Formula for volume from step 1 is 62wh - w^2h - wh^2..?

  4. general formula to calculate the volume of any polyhedron

    Apr 2, 2025 · With this information, finding the volume is a straight-forward calculation, and one commonly performed. Many analyses of object designs in industry are obtained by approximating the …

  5. Volume element in spherical coordinates - Mathematics Stack Exchange

    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.

  6. integration - Volume of a sphere using cartesian coordinates ...

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

  7. integration - Volume element in Spherical Coordinates $dxdydz ...

    Jan 14, 2020 · Consult the Wikipedia page, for instance. Coordinate changes change the volume element by the jacobian. Your expressions for $\operatorname dx, \operatorname dy$ and …

  8. calculus - Volume of a solid whose base is a circular disk ...

    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") …

  9. Why does the volume element in spherical polar coordinates contain a ...

    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 …

  10. integration - Finding volume of cone using triple integral ...

    Mar 21, 2020 · Finding volume of cone using triple integral Ask Question Asked 5 years, 8 months ago Modified 5 years, 8 months ago