A sphere is inscribed in a straight circular cylinder. The sphere is cut by any two planes perpendicular to the axis of the cylinder. Using concepts of Vector Calculus, show that the part of the sphere and the part of the cylinder between the two planes have the same area. Use a numerical example to justify.

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Q: A sphere is inscribed in a straight circular cylinder. The sphere is cut by any two planes…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.