SOLUTION: A cylindrical water tank with a diameter 14 meters and height 10.5 meters is being filled at the rate of 10.5 cubic meters per hour. If tank is half full, how long will it take to

Algebra ->  Volume -> SOLUTION: A cylindrical water tank with a diameter 14 meters and height 10.5 meters is being filled at the rate of 10.5 cubic meters per hour. If tank is half full, how long will it take to       Log On


   

Question 872332: A cylindrical water tank with a diameter 14 meters and height 10.5 meters is being filled at the rate of 10.5 cubic meters per hour. If tank is half full, how long will it take to be filled completely?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
r=7, the radius of tank
h=10.5
C = volume capacity of the tank
C=h%2Api%2Ar%5E2
Tank is half full, so v=%281%2F2%29h%2Api%2Ar%5E2
R=10.5 cubic meters per hour, rate of filling; do not confuse r with R.

Time to fill that v volume part:
R%2At=v, letting t be the time in hours.
t=v%2FR
highlight%28t=%281%2F%282R%29%29h%2Api%2Ar%5E2%29

The solution formula is completely in symbols. Just substitute the known values to find the time t. Note that as done here, the formula only works for a half-filled cylinder. You'd need to carefully adjust the solution steps if other than half-filled.