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During a thunderstorm 12 mm of rain fell onto a rectangular roof 16 m by 7 m. The rain ran into a 2 m high cylindrical tank 1.5 m in diameter. If the tank was empty when the rain began, what percentage of it was filled? (to the nearest whole percentage)

 Sep 28, 2014

Best Answer 

 #1
avatar+129840 
+5

Assuming that every part of the roof received the same amount of rain, the total volume of water falling onto the roof was 12mm x 16m x 7m....and converting mm to m, we have     .012m x 16m x 7m = 1.344m 3

And the total volume of the cylinder is    pi x r2 x h  =  pi x (.75m)2 x (2m) = about 3.534m3

So  1.344 /  3.534  = about 38%

 

 Sep 28, 2014
 #1
avatar+129840 
+5
Best Answer

Assuming that every part of the roof received the same amount of rain, the total volume of water falling onto the roof was 12mm x 16m x 7m....and converting mm to m, we have     .012m x 16m x 7m = 1.344m 3

And the total volume of the cylinder is    pi x r2 x h  =  pi x (.75m)2 x (2m) = about 3.534m3

So  1.344 /  3.534  = about 38%

 

CPhill Sep 28, 2014

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