max236524
max236524 max236524
  • 18-07-2017
  • Mathematics
contestada

A pile of dirt is one-shaped and it has a height of 10 feet and a diameter of 24 feet. Find the volume.

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altavistard
altavistard altavistard
  • 31-07-2017
Don't you mean "cone shaped?"

The formula for the vol. of a cone of base area b and height h is  V = (1/3) b h.

Here, you are told that the diameter of the base is 24 feet.  Hence, the radius is half that, or 12 feet.

The area of the base is pi times r^2, or 144 pi ft^2; the height is 10 feet.

Multiplying,  V = 1440 pi ft^3.    Just as an example:  The volume, to the nearest 100th cubic foot, is    V =  4523.89 cu ft.
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