Question: Cutting a sphere into equal pieces and finding the volume of a quarter

I currently need to cut a sphere into equal parts becuase I am carrying out an investigation for a school assignment. However, I do not know how I can cut the sphere into pieces in Maple, which I have been told it needs to be done through code. I will need to know how I can cut it so I can carry out my investigation by cutting it into different number of pieces. For example, cutting a sphere into half, so one piece would be a hemisphere.

 

Also, I will need to find the volume of each piece, which also have been told that can be done. Is it possible to find the volume of an irregular shape?

 

So may someone please help me of how I carry out these two things on the software.

 

Thanks.

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