SOLUTION: A cylinder tank contains 10 000 litres of water. The tank has a diameter of 4 meters and a height of 2 meters. Calculate the depth of water in the tank. Please help it looks so e

Algebra ->  Volume -> SOLUTION: A cylinder tank contains 10 000 litres of water. The tank has a diameter of 4 meters and a height of 2 meters. Calculate the depth of water in the tank. Please help it looks so e      Log On


   

Question 882186: A cylinder tank contains 10 000 litres of water. The tank has a diameter of 4 meters and a height of 2 meters. Calculate the depth of water in the tank.
Please help it looks so easy but I just can't work out how to get an answer of 0.80m.
Thank you!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
10000%2Aliters%2A1000%28cubicCM%2Fliter%29%2A%281%2F100%29%5E3%2A%28m%2FCM%29%5E3
%2810%5E7%29%2F%2810%5E6%29%2Am%5E3
10 cubic meters, the volume filled in the cylinder.

v=h%2Api%2Ar%5E2
h=v%2F%28pi%2Ar%5E2%29
Radius is half of the diameter or 4%2F2=2 meters.

Variable choices should seem obvious.
h=10%2F%28pi%2A2%5E2%29
h=10%2F%284%2A3.14159%29
highlight%28h=0.796%29 meters