How do I derive the volume of this cup using multivariable calculus? - Mathematics Stack Exchange

How do I derive the volume of this cup? It's been many years since I've taken calculus So far I've started with the radius of the bottom and integrated that around the circle. Did I start it rig

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calculus - Finding the volume of the cap of a sphere - Mathematics Stack Exchange

How do I derive the volume of this cup using multivariable calculus? - Mathematics Stack Exchange

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differential geometry - Concrete Example Illustrating the Interior Product - Mathematics Stack Exchange

I am learning how to find volume of torus using multivariable calculus. Could someone explain the process of double/triple integration. (I am finding it hard to follow) : r/askmath

A question regarding to the proof of multivariable changing of variables formula. - Mathematics Stack Exchange