SOLUTION: a roof with an area of 200 metre square collects 100mm rain to a tank with 4 metre diametre. How much water is collected in metres cubed and how much does the water rise in the ta

Algebra ->  Volume -> SOLUTION: a roof with an area of 200 metre square collects 100mm rain to a tank with 4 metre diametre. How much water is collected in metres cubed and how much does the water rise in the ta      Log On


   

Question 898370: a roof with an area of 200 metre square collects 100mm rain to a tank with 4 metre diametre. How much water is collected in metres cubed and how much does the water rise in the tank
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
v for volume of a cylinder, v=h%2Api%2Ar%5E2

The problem exercise gives r=4%2F2=2 METERS and h=100 MILLIMETERS.

Volume of collected water, v=100%281%2F1000%29%2Api%2A2%5E2 CUBIC METERS.
4pi%2F10
2pi%2F5
OR
highlight%28%282%2F5%29%28pi%29%29 cubic meters

How much the water rises in the tank was already given in millimeters, and you can find in
the volume calculation how the unit conversion was done, in case you want as meters.