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23 votes
23 votes
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 14 ft high?

User Stephopolis
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1 Answer

10 votes
10 votes

Answer:


(20)/(49\pi ) when the pile is at 14ft

Explanation:

To get your height in inches alone from the way it's usually presented (e.g. 5' 7"), multiply the total number of feet by 12 and then add the remainder. For example, a 5' 7" person is (5 × 12) + 7 = 67" tall. To convert inches to centimeters (in to cm), simply multiply by 2.54.

User Hopeless
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