The Math Beast Challenge Problem of the Week – March 5th, 2012

Tom Williams —  March 5, 2012 — Leave a comment

Math BeastEach week, we post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for two free Manhattan Prep GRE Strategy Guides.

The inverted cone pictured below is initially filled to height h0 with a volume of 1,000Ï€ of water. 60 percent of the water is drained from the cone and the water level falls to height h1. For a cone with radius r and height h, volume = .

Note: Figure Not Drawn to Scale

Quantity A

Quantity B
0.4

See the answer choices and submit your pick over on our Challenge Problem page.

Tom Williams

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Tom Williams is a Marketing Associate at Manhattan Prep. His background and interests are primarily within New Media and Online Marketing. As such, he spends approximately 18 hours a day in front of a computer. When he’s not interacting with Manhattan Prep students on Facebook and Twitter, Tom can be found listening to records, rooting for the Mets and Jets, and reading history books.

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