# Thickness of Multiple Spherical Shells

Hi, I am looking find the thickness of multiple spherical shells.

The radius of the entire sphere is 1700 kilometers.

There is a smaller sphere inside with a radius of 300 kilometers.

The 1400 kilometer shell ('mantle') is split into 11 different shells.

The basal shell, layer 0, makes up 50% of the volume of the 'mantle'. The remaining 50% is made up of ten layers, each with a volume of 5% of that remaining 50%.

 Layer Volume of 'mantle' (%) 0 50 1 5 2 5 3 5 4 5 5 5 6 5 7 5 8 5 9 5 10 5

Thank you.

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• There was a small mistake that I just fixed.

• What do you mean by don't add up? We should have r_10=1700. Indeed r_i is the radius of the i th layer. Is that what you are getting?

• That values I got for each layer don't add up to *1,700 not 1,400 sorry.

• There was a mistake in my calculations. I have fixed it. I doubled checked everything and the r_i add up to 1700 now. Sorry for the inconvenience.

• Let me know if you need any other clarifications.

• Hi Phillip, It works now thank you so much for your help I really appreciate it.

• You're welcome. I am glad I was able to help.