Magnetic field inside a sperical coil

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Homework Statement


What is the induction in the centre of a spherical coil with N turns, the current I and the radius R?


Homework Equations


Biot-Savart law \mathbf{B} = \int\frac{\mu_0}{4\pi} \frac{I d\mathbf{l} \times \mathbf{\hat r}}{|r|^2}


The Attempt at a Solution


I know what the induction from one turn is but I don't have a clue how to sum these up. And as have to have this homework done by Tuesday I'll be most grateful for any help.
 
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In Biot-Savart law you may change
I to NI.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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