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?

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07-03-2022
Mathematics

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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?

Sagot :

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lvvies lvvies · Answer 1 · 2022-03-07T12:22:17-05:00

lvvies lvvies

07-03-2022

Answer:

[tex]\frac{20}{49\pi }[/tex] when the pile is at 14ft

Step-by-step 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.

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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?

Sagot :

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