2D-the mass of a sphere with a position-dependant density

The animation that explains how to calculate the mass of a sphere with a non-uniform, position-dependent density. It starts by introducing a 3D sphere and its coordinate axes. Then, it visually represents the density field inside the sphere using a color gradient or opacity. Next, it focuses on a single, tiny volume element (a "voxel"), demonstrating that its small mass, is the product of the local density and the volume. The animation then shows many such voxels filling the entire sphere, each with a color reflecting its local density. This process leads to the integral expression for total mass, showing how all the tiny mass elements are summed up.

$\complement\cdots$Counselor

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