QUESTION $5$

To warm up some milk for a baby, a mother pours milk into a thin$-$walled glass whose radius is $2\mathrm{.}7cm.$ The height of the milk in the glass is $5cm.$ She then places the glass into a large pan filled with hot water at $66C.$ The

milk is stirred constantly, so that its temperature is uniform at all times. If the heat transfer coefficient between the water and the glass is $118\frac{W}{m^{2.\text{@}}}C,$ determine how long it will take in seconds for the milk to warm up

from $9C$ to $37C.$ Write your answers in $2$ decimal figures. Take the properties of the milk to be the same as those of water.