An underground tank is a hemisphere with radius 4 feet (i.e. it is half a sphere,...

An underground tank is a hemisphere with radius 4 feet (i.e. it is half a sphere, and so horizontal cross-sections are circles of varying radius). It is filled to the top with oil weighing 45 lb per cubic foot. The top of the tank is at ground level, and the oil in the tank is pumped to a height of 10 feet above ground level. How much work is done? Set up the integral, but then just use your calculator to evaluate it. The picture is a two-dimensional picture of a vertical cross-section (through the center) of the tank.

Expert Solution

1st we will find work needed to empty a horizontal slice of water and then integrate it to find total work

milcah answered 2 years ago

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