Question 1044714
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?
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Find the volume of the cone in terms of the height.
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{{{Vol = pi*r^2*h/3}}}
h = 24, r = 6 --> r = h/4
{{{Vol = pi*(h/4)^2*h/3}}}
{{{Vol = pi*h^3/48}}}
dV/dt ={{{pi*h^2/16}}}dh/dt}
dh/dt = 100/(pi*100/16)
dh/dt = 16/pi cm/minute