Ball Box Problem

Calculus Level 4

A large hollow rectangular box has a perfectly​ circular hole cut in the top. The hole radius is 1 meter. A spherical ball is placed over the hole such that 25% of its volume resides within the box. Determine the radius of the ball (in meters).


The answer is 1.066.

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Steven Chase by Steven Chase , 37, USA

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1 solution

Steven Chase
Jul 7, 2016

Relevant wiki: Volume of Revolution - Problem Solving

7 Helpful 0 Interesting 0 Brilliant 0 Confused

Same, except my integral bounds were 0 to √(R^2-1).

Luke Videckis - 4 years, 11 months ago

I just read about a baker who asked for help to measure half a hemisphere teaspoon of vanilla extract. I don't know if that's considered cheating or not.

Saya Suka - 1 week, 6 days ago

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