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Let z = f(y) be a continuous positive function for y [0,100, and this function is rotated around & = 0 to form a container.
Let z = f(y) be a continuous positive function for y [0,100, and this function is rotated around & = 0 to form a container. So y = 0 is the bottom of the container and y = 100 is the top of the container. Suppose the container is filled with water to height h for some h less than 100. Using the washer method, find the volume of the water. As well, if the water evaporates at a rate proportional to the area of the surface of the water, find the rate at which the height of the water changes with respect to time.
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