A more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs is; integration.
How to find the volume integration?
Another way that is a more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs is integration.
This method is using integration to find the area of many objects. This can be extended to calculate volumes.
When we calculate the area of a region, we are basically going to divide the region into a number of small pieces where we can use each piece to calculate its area. Summing up all of these areas, we will get the total area.
Similarly, if we want to divide a three-dimensional region into a number
of small volumes, and then sum the volumes of each of the smaller pieces. This will give us the total volume of the region.
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