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

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
RELATED QUESTIONS
CALCULUS(MAXIMA AND MINIMA):A RECTANGULAR BOX HAVING A SQUARE BASE AND OPEN AT THE TOP IS (answered by Alan3354,solver91311)

CALCULUS(MAXIMA AND MINIMA):HOW FAST DOES THE DIAGONAL OF A CUBE INCREASE IF EACH SIDE OF (answered by ewatrrr)

CALCULUS(MAXIMA AND MINIMA):THE VOLUME OF A SPHERE IS INCREASING AT THE RATE OF... (answered by ewatrrr)

CALCULUS(MAXIMA AND MINIMA): A rectangular trough is 3m wide and 15m long.water flows in... (answered by Alan3354)

CALCULUS(MAXIMA AND MINIMA):THE HEIGHT OF THE RIGHT CIRCULAR CYLINDER IS 50 INCHES AND... (answered by ewatrrr)

CALCULUS(MAXIMA AND MINIMA): A 4m ladder is leaning against a vertical wall with its foot (answered by rothauserc)

What is the relationship between the degree of a polynomial and the maximum number of... (answered by oscargut)

A light house is located at A , 2 km off-shore from the nearest point O on a straight... (answered by josgarithmetic)

The question is as under : " Alight house is located at A, 2 km off-shore from the... (answered by josgarithmetic)