(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A uniform sphere of radius R is cut into two portions. The smaller portion S has height h measured from its flat surface, where h<R.

(a) Locate the center of mass of Sfrom its flat surface

(b) Use (a) the locate the centre of mass of a hollow H which has the same shape and same size as S. The hollow has only a thin curved surface and without any flat surface.

(c) Obtain the result of (b) by direct integration.

2. Relevant equations

This question use 2 tricks to find the center of mass of a hollow.

1. Use substraction to substract a big object by a smaller one and then take limit. (I hope you understand what I mean.)

2. Use direction integration.

3. The attempt at a solution

My answer in part b doesn't agree with part c, can anyone help me to check what happen?

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# Homework Help: Cutting a hollow sphere into 2 piece but not in half

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