SOLUTION: Sand is being dumped from a conveyor belt and forms a pile in the shape of a cone whose base diameter and height are always equal. Find the average rate of change of the volume of

Question 1174205: Sand is being dumped from a conveyor belt and forms a pile in the shape of a cone whose base diameter and height are always equal. Find the average rate of change of the volume of sand in the pile with respect to the height of the cone from h = 1.5m to h = 2.5m. [V = (3.14r^2h)/3].
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Sand is being dumped from a conveyor belt and forms a pile in the shape of a cone whose base diameter and height are always equal. Find the average rate of change of the volume of sand in the pile with respect to the height of the cone from h = 1.5m to h = 2.5m. [V = (3.14r^2h)/3].
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h = d = 2r
r = h/2
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V(h) = pi*(h/2)^2*h/3 = pi*h^3/12
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Find V(2.5)
Subtract V(1.5)
That's the average.
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