Cutting tool and method of manufacturing machined product using the same

A cutting tool may include a holder including a pocket, a cutting insert located at the pocket, a clamp member configured to fix the cutting insert to the pocket, and a flow path including an inflow port and an outflow port. The clamp member may include a screw and a clamp. The flow path may further include a first flow path located in the holder, a second flow path located in the clamp, and a third flow path that is a pipe connecting the first flow path and the second flow path and including a first end part located in the first flow path and a second end part located in the second flow path.