SOLUTION: if 20mm of rain falls into a 10 000 litre tank (2.2m high and 2.4m wide), how FULL will the tank be and how much rain will it take to fill the tank up?

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Question 867596: if 20mm of rain falls into a 10 000 litre tank (2.2m high and 2.4m wide), how FULL will the tank be and how much rain will it take to fill the tank up?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!

10000%2A1000%2F%281000000%29=%2810%5E7%29%2F%2810%5E6%29
10 cubic meters for 10000 liters.
The tank is 10 cubic meter capacity.

LENGTH of tank?
L = length of tank.
L%2A2.2%2A2.4=10
L=10%2F%282.2%2A2.4%29
L=1.894 meters tank length.

How full the tank with 20 mm of water?
Length is 1.894, and width is 2.4, meters each.
The rain height is 20%2A10%5E%28-3%29 meters.
How full, ratio of rain volume to tank capacity.
The fraction full is %2820%2A10%5E%28-3%29%2A1.894%2A2.4%29%2F10
2%2A10%5E%28-2%29%2A10%5E%28-1%29%2A1.894%2A2.4
2%2A1.894%2A2.4%2A10%5E%28-3%29
9.09%2A10%5E%28-3%29
-
The tank is highlight%280.00909%29 full.