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.
Answer
 The questioner was satisfied and accepted the answer, or
 The answer was disputed, but the judge evaluated it as 100% correct.

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.
 answered
 150 views
 $20.00
Related Questions
 How can I find steering angle if the only information I have is arc length, vehicle length, and how far my vehicle is off course?
 Get area of rotated polygon knowing all coordinates and angle.
 Find the area bounded by the graphs of two functions
 Calculating aspect ratio limits of rotated rectangle within a rectangle
 Find the volume of the solid obtained by rotating $y=x^2$ about yaxis, between $x=1$ and $x=2$, using the shell method.
 Similar shapes
 Three questions on the annihilator
 Determine the surface area of a ball, rotating a function about $x$axis.