SOLUTION: CALCULUS(MAXIMA AND MINIMA): Water is flowing into a conical vessel 24cm deep and 12cm across the top at the rate of 100cm^3/min.how fast is the surface rising when the water is 10
Algebra ->
Test
-> Lessons
-> SOLUTION: CALCULUS(MAXIMA AND MINIMA): Water is flowing into a conical vessel 24cm deep and 12cm across the top at the rate of 100cm^3/min.how fast is the surface rising when the water is 10
Log On
Question 1044714: CALCULUS(MAXIMA AND MINIMA): Water is flowing into a conical vessel 24cm deep and 12cm across the top at the rate of 100cm^3/min.how fast is the surface rising when the water is 10cm deep?
*show your illustration Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Water is flowing into a conical vessel 24cm deep and 12cm across the top at the rate of 100cm^3/min.how fast is the surface rising when the water is 10cm deep?
----------
Find the volume of the cone in terms of the height.
--
h = 24, r = 6 --> r = h/4
dV/dt =dh/dt}
dh/dt = 100/(pi*100/16)
dh/dt = 16/pi cm/minute
