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

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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)   (Show Source): You can put this solution on YOUR website!
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 =
V = 2592 liters
Change to cubic meters
= 2.592 cu/meters
:
Assuming the tank is exactly full. Find the radius with this vol of water
= 2.592
r^2 =
r^2 = .68755
r =
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

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