Related rates 2 E-4: Sand is pouring on a conical pile at 12m^3/min. The diameter of the base is always 3/2 the height. Find the rate at which the height is increasing when the pile is 2 m tall.
The question is located here: http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/part-c-mean-value-theorem-antiderivatives-and-differential-equations/problem-set-5/MIT18_01SC_pset2prb.pdf And the answer is here: http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/part-c-mean-value-theorem-antiderivatives-and-differential-equations/problem-set-5/MIT18_01SC_pset2sol.pdf
I get an answer that is different from the solution provided in the answer key. I'm going to show my work, and perhaps someone can tell me where I went wrong, or let me know that there is an error in the solutions.
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