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I can't figure out the radius, if the height is 30 mm. Please help.

Guest May 17, 2017
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We can use similar triangles to find the radius, R, when the height of the sand  = 30mm

 

So we have...

 

10 /24  = R / 30      multiply both sides by 30

 

30 * 10  / 24   =  12.5 mm  

 

So the volume of the sand  is now  = [ (1/3) pi ( 12.5)^2 * 30 ]  m^3

 

And since the sand flows out at 50mm^3 / sec......the time you have to answer the question =

 

[ (1/3) pi ( 12.5)^2 * 30 ] / 50   ≈  98 sec 

 

 

cool cool cool

CPhill  May 17, 2017

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