Please help me!!!!
When standing on one of its circular ends, a typical wine barrel has height 94 cm. The diameter of the barrel at the widest point is 70 cm. When the barrel is standing in this way, the curved edge of the vertical cross section (through the center of the barrel) is a parabola whose derivative is 2x/275, where x is the vertical distance from the center of the barrel. Assuming that 1 litre = 1000 cm^3, find the volume of wine that the barrel holds.