VJC P1 Q9
(i) Sketch the graph with equation , where and
A hemispherical bowl of fixed radius cm is filled with water. Water drains out from a hole at the bottom of the bowl at a constant rate. When the depth of water if cm (where ).
(ii) Use your graph in (i) to show that the volume of water in the bowl is given by .
(iii) Find the rate of decrease of the depth of water in the bowl, given that a full bowl of water would become empty in 24 s,
(iv) without any differentiation, determine the slowest rate at which the depth of water is decreasing.