(Solved): A circular catchment ring is designed to surround a fountain. At distance x measured from the cente ...

A circular catchment ring is designed to surround a fountain. At distance x measured from the center of the fountain, the depth y of the ring follows the contour y = x3 – 10x2 + 21x feet from ground level for x = 3 feet + out to x = 5 feet, where it rises vertically again to ground level. How much water will the catchment ring hold?