Write MATLAB Script to Calculate Cooling Time of a Magma Body (Cylinder)

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Job Description

I need you to write a script that will calculate the cooling of a magma body is described in the attached paper on the top left paragraph of page 513.

"For example, for a cylindrical chamber with 1 km radius and 1 km depth (a volume of '3 km3), the time to cool the magma internally by '100#C is calculated at 8400 years for a heat flow of 2%2W/m2 and a heat loss of 220 kJ/kg assuming 20% crystallization, a latent heat of 419 kJ/kg and heat capacity of 1361 kJ/kg per K. Larger chambers or lower hydrothermal heat"

And using all the values in the tables in the paper.

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