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What is the formula for the volume of a cone?

V=1/3 pi r^2 d

V=1/3 pi r^2 d

correct?

...

So now rewrite the volume of the cone formula just in terms of d.

V= 1/3 pi (10/6d)^2*d

And simplify.

\[V = \frac{100\pi}{36d}\]

Now what?

Now solve for d in terms of V.

so i plug in d=10 into my new Volume?

No, because we want to know how fast d is changing at d=8

oh yeah... so I got 25/72 pi

where do I plug my changing rate?

\[\frac{d}{dt}V = \frac{d}{dt}[\frac{100\pi}{36d}]\]

Don't forget the chain rule!

How do I take the derivative of that?

why did you multiplyby 1/d?

Because you had \[\frac{100\pi}{36d} = \frac{100\pi}{36} * \frac{1}{d}\]

I've gotta go have dinner. I'll bbl

okay.

are you back?

Did you figure it out?