give me an equation to find the volume of part of a sphere of x^2+y^2+z^2=R^2 where the volume is between z = hR and z = kR where 0<=h < k <=1
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Solution 1
The volume of a sphere is given by the formula V = 4/3 * π * R^3. However, you're looking for the volume of a part of the sphere between two planes z = hR and z = kR.
The volume of a spherical cap (the portion of a sphere cut off by a plane) is given by the formula V_cap = π/6 * h^2 * (3R - h), wh Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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