SOLUTION: 6.6mm of rain fall onto a rectangular roof 8m long and 6m wide. The rain water drains into a cylindrical barrel of diameter of 60cm. How far does the water level rise in the barrel

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Question 1205443: 6.6mm of rain fall onto a rectangular roof 8m long and 6m wide. The rain water drains into a cylindrical barrel of diameter of 60cm. How far does the water level rise in the barrel?
Answer by ikleyn(52795) About Me  (Show Source):
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6.6mm of rain fall onto a rectangular roof 8m long and 6m wide.
The rain water drains into a cylindrical barrel of diameter of 60cm.
How far does the water level rise in the barrel?
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To find the water level rise in the barrel, take the volume of the rain

   volume of the rain = 0.66 cm * 800 cm * 600 cm = 316800 cm^3


and divide it by the area of the barrel base/(bottom)

   area of the barrel base/(bottom) = pi%2A%28d%2F2%29%5E2 = 3.14159265%2A%2860%2F2%29%5E2 = 2827.433 cm^2.


You will get the water level rise of  316800%2F2827.433 = 112 cm  (rounded).


Remember, that in such calculations, you should use the dimensions in consistent units.

Solved.