A control system for a cold planer having a milling is disclosed. The control system may include a depth sensor configured to generate a first signal indicative of a milling depth below a work surface, a speed sensor configured to generate a second signal indicative of a ground speed of the cold planer, and a profile detection device mountable to the cold planer at a location forward of the milling drum. The profile detection device may be configured to generate a third signal indicative of a width profile of the surface. The control system may further include a controller in communication with the profile detection device, the depth sensor, and the speed sensor. The controller may be configured to determine a volume of a milled material based on the first, second, and third signals.