Posted by lou on Monday, July 18, 2011 at 2:56pm.
Water is flowing at a rate of 10 m3/s into the cylindrical tank shown below.
a) Find the volume V of the water as a function of the water level h.
b) Find h as a function of the time t during which water has been flowing into the tank.
height of cylinder: 80m
height of water: ?
diameter of cylinder: 40m

math  Damon, Monday, July 18, 2011 at 5:09pm
V = pi r^2 h
dV/dt = pi r^2 dh/dt = 10 m^3/s
so
dh/dt = 10/(pi r^2)
h = 0 + [ 10/(pi r^2) ] t

math  Patricia, Wednesday, May 18, 2016 at 9:16am
Andrew’s car starting at 12:00 noon travels west at a speed of 30 kph. Andrei’s car starting from the same point at 2:00 pm travels north at 45 kph. Find how fast the two are separating at 4:oopm.
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