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

[kwagner]

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?

 

[tkhunny]

Re: Cylinders

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

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

Amount Poured into Cup = \(\displaystyle \pi 1.5"^{2} \cdot 4"\)

How much did the pot level drop? \(\displaystyle \pi 1.5"^{2} \cdot 4" = \pi 4"^{2} \cdot q\)

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