Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8\text{ cm}8 cm8, start text, space, c, m, end text and a height of 10\text{ cm}10 cm10, start text, space, c, m, end text. Anju fills the cup to \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction of its height to prevent spills. What is the approximate volume of water in Anju's cup? Round to the nearest cubic centimeter.