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
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-> 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
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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.
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