Posted by Chris on Wednesday, April 20, 2011 at 5:31pm.
Volume = V = (4/3) pi r^3
area =A = 4 pi r^2
r = (A/4pi)^.5
so
V = (4/3) pi (A/4pi)^1.5
dV/dt = (4/3)(1/5)(A/4pi)^.5 (dA/dt/4pi)
here dV/dt = -2
r = 12 so A = 4 pi(144)
solve for dA/dt
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