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Q8. a. A drainage Channel is to be made of moulded blocks with a cross - section as represented in Fig Q8(a). Each block is 2.4 m in width, 1 m in height and 3 m in length. Calculate the volume of concrete required to produce each block(10)

b. A stone is dropped into a still pond and creates a series of circular ripples.

The rate of change of the area of disturbed water is given by:

dA/dt = 9 √t where A is the area disturbed water in m² and t is the time in seconds.

i. Determine, by integration, A in terms of t. (5)

ii. Calculate the area of pond covered by the ripples after 4 seconds. (1)