Need help with problem 4. | Mathematics | Page 1

cyan swallowBOT Mar 6, 2024, 2:00 AM

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kindred wadi Mar 6, 2024, 2:41 AM

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try writing out all the quantities and relationship given, and also the quantity you want to find

west mist Mar 6, 2024, 2:43 AM

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sorry, but what do you mean

kindred wadi Mar 6, 2024, 2:48 AM

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for example we know the rate of gravel being dumped is 20 cubic feet per minute. if g = volume of gravel and t = minutes passed we can say dg/dt=20

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What other values are given in the problem

west mist Mar 6, 2024, 2:50 AM

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2h = diameter, h = radius, and h = 6

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were looking for dh/dt

kindred wadi Mar 6, 2024, 2:51 AM

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yeah

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So we are also given that the shape of the pile is a cone, so the formula for a cone will also be useful

west mist Mar 6, 2024, 2:52 AM

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yeah V = pie r^2 h/3

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but we can replace r with h

kindred wadi Mar 6, 2024, 2:53 AM

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yeah

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Since we want dh/dt it would be useful to differentiate that formula with respect to time

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to get rid of any confusion dV/dt=20 (should have used V instead of g earlier but doesnt really matter)

west mist Mar 6, 2024, 3:06 AM

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alright thank you I think I understand

#Need help with problem 4.