This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Alright Hølüwårh — let's do this.
Here are the locations of the center of mass for each body, assuming uniform mass density, and the answer to your question:
No, the center of mass of a body does not necessarily lie inside the body. A common example is a ring, where the center of mass is at the center of the hollow space, which is outside the material of the ring itself.
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Alright Hølüwårh — let's do this. Here are the locations of the center of mass for each body, assuming uniform mass density, and the answer to your question: (i) Sphere: The center of mass is located at its geometric center.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.