Approximating the Volume of a Sphere Using Cylindrical Slices

The volume of a sphere can be approximated using slices, where each slice is a cylinder. As the number of slices increases, the approximate volume approaches the actual volume. Using techniques from integral calculus, the exact volume of the sphere can be computed as the limit of these approximations. The exact volume is , where is the radius.

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Related Curriculum Standards

US Common Core State Standards, Mathematics