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A cylindrical tank has a base with a circumference of

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Intern
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Joined: 30 Jul 2012
Posts: 7
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Re: A cylindrical tank has a base with a circumference of  [#permalink]

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New post 15 Aug 2015, 08:12
Hi, I was just looking at this exercise. I am a bit surprised we are expected to solve this in less than 2mn. Do a lot of people succeed to do that ? Just taking into account the time to :
- read the exercise
- understand it
- maybe draw quickly on your paper
- formulate the approach
- solve
- maybe read again some parts of the problem in the middle to confirm you are on track and not missing important information, that would take more around 2:30-3:00 even for a rapid problem solver. What do you think ?
Manager
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Joined: 23 Oct 2017
Posts: 64
Re: A cylindrical tank has a base with a circumference of  [#permalink]

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New post 08 Jan 2018, 23:34
Circumference = 4\sqrt{\pi{\sqrt{3}} = 2*pi*r
pi*r*r = 4*sqrt(3)/pi

probability of lying outside the painted area = 3/4
Thus lying inside= 1/4

probability of lying in the painted area = area of equilateral triangle / area of circle= (sqrt(3)*side*side/4) / pi*r*r
=>r =2
Re: A cylindrical tank has a base with a circumference of &nbs [#permalink] 08 Jan 2018, 23:34

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