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' (%)|
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Leave a comment if you need any clarifications.
There was a small mistake that I just fixed.
Hi, thank you so much for your answer. However, my answers , when added to the 300km 'core' don't add up to 1400KM? Thanks
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.
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