HUH?! How to show the area given?

Level pending

This question has troubled me for one day. I have searched all over the web but I can't find a proper slution!


The diagram shows a hemispherical bowl with a radius of r cm. Water is poured into the bowl at a constant rate.

(a) Show that when the water level in the bowl is h cm, the surface area, A cm^2, of the water in the bowl is given by A = πh(2r - h). (b) If r = 5 and the rate of change in water level is 0.6 cm s^-1, find the rate of change in the surface area when h = 2.

*The answer provided is for question (b).


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