A Tank Is In The Shape Of The Curve Y 8 X 3 For 0 X 1 Revolved About The Y Axis

A tank is in the shape of the curve y = 8(x^3)for 0 ≤ x ≤ 1 revolved about the y axis, withthe x and y axes labeled in feet. Suppose the tank is filled with water weighing 62.5 lbs/ft3. Draw a picture of the situation. Then write down the integral for the work W required to bringthe water to the top of the tank until there is a depth of 1 foot of water in the tank. Preparethe integral for integration, but DO NOT EVALUATE THE INTEGRAL

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