The interval that f(x) is increasing is the distance from 200 to 300. The minimum value of f(x) in the interval 0<x<300 is 200. At a value of 500, the value of f(x) is 0. The function can't be a quadratic function since there are two points in the graph where f(x) changes its rate from increasing to decreasing or the opposite. A quadratic function has only one of that point.
My best solution would be 10053. Although this doesn't seem correct. The reason on why I got this is because of 16 being the diameter. When volume needs a radius and a height. So its this answer or was it a mistake?