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

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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) About Me  (Show Source):
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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.