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)
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%
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%