SOLUTION: A conical tank with altitude 17.3 m is filled with water at a rate of 10.5 L/min. If it takes 6.20 hours for the tank to fill, what is the radius of the top of the tank? thanks

Algebra ->  Volume -> SOLUTION: A conical tank with altitude 17.3 m is filled with water at a rate of 10.5 L/min. If it takes 6.20 hours for the tank to fill, what is the radius of the top of the tank? thanks       Log On


   

Question 1154327: A conical tank with altitude 17.3 m is filled with water at a rate of 10.5 L/min. If it takes 6.20 hours for the tank to fill, what is the radius of the top of the tank?
thanks you !!!!
Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Rate of filling 10.5 L/min
height = 17.3 m
Time of fill = 6.2 hours=372 minutes
volume of water = 10.5 *372 =3906 L
1m^3 = 1000 liters
3.906 m^3
V = (1/3) (pi*r^2 *h)
(3.906 *3) /(pi*h)= r^2
r^2=0.215
r=0.47 m is the radius

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Since the convenient volume unit conversion is

1L = 1000cm^3

we will do our calculations in centimeters.

Using tank measurements, the volume in cm^3 is

%281%2F3%29%28pi%29%28r%5E2%29%281730%29

Using the information about how long it takes to fill the tank, the volume in cm^3 (1L=1000cm^3) is

%2810.5%29%281000%29%2860%29%286.2%29

So

%281%2F3%29%28pi%29%28r%5E2%29%281730%29+=+%2810.5%29%281000%29%2860%29%286.2%29

Solving that using a calculator gives a radius of about 46cm.

That makes the diameter less than 1m, making for a very tall and skinny container....