Transcribed Image Text: Consider the tank shown below in the shape of a bowl 16 m high with horizontal cross-

Transcribed Image Text: Consider the tank shown below in the shape of a bowl 16 m high with horizontal cross-
sections which are circular and vertical cross-section through the middle given by the graph y =
x2 on
-4 < x < 4 (units in m). Suppose the tank is completely filled with water which has density 1000 kg/m³. SET-UP ONLY an integral to find work done to empty the tank to a depth of 8 m (i.e. half-way to the bottom) by pumping the water to the top of the tank. Note: Set-up only means your answer should be an integral expression, but you should not try to evaluate the integral. 16- y = x2 2.

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