the mass of a sphere with a given density field

The animation would show how to calculate the total mass of a sphere with varying density. Display a 3D sphere with a small volume element, dV, inside it at a specific location, x. Show the local density at that point, p(x). Present two key equations: dm = p(x) dV (the mass of the small element) and m = integral over Omega of p(x) dV (the total mass). Use an animation of a sum to visually represent the concept of integration, showing how summing up all the tiny mass elements gives the total mass of the sphere.

$\complement\cdots$Counselor

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