How fast is it rising

Calculus Level 3

Sand is being dumped from a dump truck at the rate of 10 ft 3 /min \text{10 ft}^3 \text{/min} and forms a pile in the shape of a cone whose height is always half its radius. How fast is its height rising when the pile is 5 ft \text{5 ft} high?


The answer is 1.

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1 solution

Aunkur Das Shanto
Apr 18, 2019

I got the same result, but for some reason the posted answer is 1 1 rather than 1 10 π \dfrac{1}{10\pi} .

Brian Charlesworth - 2 years, 1 month ago

I got that too but it said it had to be an integer so I just guessed the closest integers to the answer.

Charley Shi - 2 years, 1 month ago

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