SOLUTION: Karl has finished harvesting his barley and stored it short-term in a conical pile in his yard. Karl�s auger is 41 ft long and the pile has a diameter of 75 ft. a. Find the he

Question 1037490: Karl has finished harvesting his barley and stored it short-term in a conical pile in his yard. Karl�s auger is 41 ft long and the pile has a diameter of 75 ft.
a. Find the height of Karl�s pile using the Pythagorean Theorem. Round to one decimal place.

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b. Find the volume of barley in Karl�s pile to the nearest cubic foot.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Karl has finished harvesting his barley and stored it short-term in a conical pile in his yard.
Karl�s auger is 41 ft long and the pile has a diameter of 75 ft.
:
a. Find the height of Karl�s pile using the Pythagorean Theorem.
Round to one decimal place.
A right triangle formed by the height, the radius (37.5) and the 41' augar is the hypotenuse
h^2 + 37.5^2 = 41^2
h^2 = 1681 - 1496.25
h^2 = 275.75
h =
h = 16.6 ft is the height
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b. Find the volume of barley in Karl�s pile to the nearest cubic foot.
the Volume of a cone: V = *
V = *
V = 24,456 cu/ft
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