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.
Find the volume of water, in liters, flowing at 10 ml/sec for 3 days
V = {{{(3*24*3600*10)/1000}}}
V = 2592 liters
Change to cubic meters
{{{2592/1000}}} = 2.592 cu/meters
:
Assuming the tank is exactly full. Find the radius with this vol of water
{{{pi*r^2*1.2}}} = 2.592
r^2 = {{{2.592/(1.2*pi)}}}
r^2 = .68755
r = {{{sqrt(.68755)}}}
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