SOLUTION: A pile of sand is in the shape of a cone with a diameter that is twice the height. Express the volume, V, of the sand as a function of the height, h.

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Question 500373: A pile of sand is in the shape of a cone with a diameter that is twice the height. Express the volume, V, of the sand as a function of the height, h.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A pile of sand is in the shape of a cone with a diameter that is twice the height.
Express the volume, V, of the sand as a function of the height, h.
:
The vol of cone: V = 1%2F3pi%2Ar%5E2%2Ah
:
The radius is half the diameter, therefore r = h, therefore:
V = 1%2F3pi%2Ah%5E2%2Ah
V = 1%2F3pi%2Ah%5E3