A more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs is the; use the cross sections of the actual sphere, and to not use the cylindrical slabs.
A Cylinder is a surface created by projecting a closed two-dimensional curve along an axis intersecting the plane of the curve.
Sphere
This is a regular three-dimensional object in which every cross-section is a circle; the figure described by the revolution of a circle about it's diameter.
Therefore, the use of cross sections of the actual sphere is a more accurate method for approximating the volume of the spherical slab.
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