Cylinders: cylindrical pot, r=4; cylindrical cup, r=3/2, h=4

kwagner

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Question: If you have some apple cider in a cylindrical pot that has a radius of 4in. Then you pour cider from the pot into a cylindrical cup that has a radius of 1 1/2 in. until the cider in the cup is 4 in deep. How much did the level of cider in the pot go down?

How do i figure this question out if i know the radius of both the pot and cup what fromula or step can i use to solve this question?
 
Re: Cylinders

Volume of Right Circular Cylinder = πr2h\displaystyle \pi r^{2} \cdot h

Original Depth in Pot = π42h\displaystyle \pi 4^{2} \cdot h -- What is 'h', you say? Just keep going. We don't care.

Amount Poured into Cup = π1.5"24"\displaystyle \pi 1.5"^{2} \cdot 4"

How much did the pot level drop? π1.5"24"=π4"2q\displaystyle \pi 1.5"^{2} \cdot 4" = \pi 4"^{2} \cdot q

Make sure you check to see that q < 4". You tell me why.
 
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