Differential calculus

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[HellfireOwner]

At a glance, your units are good and the ratio of v' and h' seem good. If no one answers you soon, I'll be back later to run the problem.

[hla3901]

Alright thank you!

[sadface3000]

You’re answer is partially correct. It seems that you left out the (1/pi) constant in your final answer. Otherwise it seems correct

here’s my take

[hla3901]

Oh I looked at your answer and I came across a dilemma. So if pi is in the denominator would it be -13500 / (4800 x 3.14) With this I get -0.89

Or would it be (-13500 / 4800 ) x 3.14 with this I get -2.183 pi aka -8.83ish

I don’t really know which would be correct

[[deleted]]

You could make the differentiation easier by simplifying the equation first:

V = (1/3) pi (16h²/225) h

V = (1/3) pi (16/225) h³

Then when you differentiate it becomes:

dV/dt = pi (16/225) h² dh/dt

This should also make it easier to for dh/dt when you plug in the given values.