SOLUTION: Water flows from a cylindrical tank at a constant rate of 10 mL per second. The height of the tank is 1.2 metres. a) Find the radius of the tank to the nearest cm if it takes 3 d

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Water flows from a cylindrical tank at a constant rate of 10 mL per second. The height of the tank is 1.2 metres. a) Find the radius of the tank to the nearest cm if it takes 3 d      Log On


   

Question 1118934: Water flows from a cylindrical tank at a constant rate of 10 mL per second. The height of the tank is 1.2 metres.
a) Find the radius of the tank to the nearest cm if it takes 3 days to empty the tank
b) the tank needs to be transported and is placed in a fitted rectangular box. Find the dimensions and volume of the box required.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Water flows from a cylindrical tank at a constant rate of 10 mL per second.
The height of the tank is 1.2 metres.
:
a) Find the radius of the tank to the nearest cm if it takes 3 days to empty the tank.
Find the volume of water, in liters, flowing at 10 ml/sec for 3 days
V = %283%2A24%2A3600%2A10%29%2F1000
V = 2592 liters
Change to cubic meters
2592%2F1000 = 2.592 cu/meters
:
Assuming the tank is exactly full. Find the radius with this vol of water
pi%2Ar%5E2%2A1.2 = 2.592
r^2 = 2.592%2F%281.2%2Api%29
r^2 = .68755
r = sqrt%28.68755%29
r = .83 meters is the radius of the tank
:
:
b) The tank needs to be transported and is placed in a fitted rectangular box. Find the dimensions and volume of the box required.
The box has to be at least as the diameter and height
2*.83 = 1.63 mwide
and
1.2 m = the length