Sharon is making a large batch of soup. The soup reaches a height of 25\text{ cm}25 cm25, start text, space, c, m, end text in a cylindrical pot whose diameter is 30\text{ cm}30 cm30, start text, space, c, m, end text. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7\text{ cm}7 cm7, start text, space, c, m, end text long. How many whole cubes can Sharon make?