I have tried this problem, but it's not working out.
Sand poured on the ground at a rate of 3 meters cubed per minute forms a conical pile whose height is 1/3 the diameter of the base. How fast is the altitude increasing when the radius of the base is 2 m.
First I replace r in the conical V=1/3 PIE r^2h
I take h = 1/3 d
So I get r = 3h/2
So then I put it in V=1/3 PIE (3h/2)^2h
When I do the derivative I get
I plug in the numbers
and get .0795 m/min
But the answer is .239m/min
What am I doing wrong in this problem, if someone can help thanks.