b. The triple integral in cartesian coordinates is given by V=∫01​∫01−y2​​∫04−x2−y2​​zdzdxdy. (i) Find the exact values

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B The Triple Integral In Cartesian Coordinates Is Given By V 01 01 Y2 04 X2 Y2 Zdzdxdy I Find The Exact Values 1 (24.21 KiB) Viewed 20 times

b. The triple integral in cartesian coordinates is given by V=∫01​∫01−y2​​∫04−x2−y2​​zdzdxdy. (i) Find the exact values of a,b and the function f(r) if the triple integral V is converted to cylindrical coordinates as given below ∫0a​∫0b​∫0f(r)​rzdzdrdθ [6 marks] (ii) By using the result from b(i), evaluate the triple integral V in cylindrical coordinates form. Give your answer in terms of π.