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An office water cooler has the shape of a cylinder with a radius of 9 in. The height of the cooler is 22 in. Water is dispensed into paper cups that have the shape of a cone with a radius of 2 in. The height of each paper cup is 3 in. What is the greatest number of paper cups that can be completely filled from the water cooler?

 Jan 29, 2020
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The water cooler:  V  =  pi · radius2 · height  =  pi · (9)2 · (22)  =  1782 pi.

 

The paper cup:     V  =  (1/3) · pi · radius2 · height  =  (1/3) · pi · (2)2 · (3)  =  4 pi.

 

Can you finish it from here?  [If the answer does not come out to be an exact number, round down.]

 Jan 29, 2020

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