Why was the volume of your fountain smaller than the volume of the ideal sphere? Discuss a more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs. Discuss in two to three sentences.

The volume of a sphere can be approximated by cylinders. As the number of cylinders approaches infinity the total volume of all the cylinder approaches the actual volume of the sphere.

The volume for the fountain was smaller than the overall volume of the sphere because the fountain did not calculate all volume within the sphere, just the volume within the fountain. The closer your cylinders get to infinity, the more accurate your volume will become. However, if you can calculate the volume of the cylinders, you have all the information you need to calculate the volume of the sphere using the sphere volume formula. V= 4/3*π*r^3

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