You set out to design a car which employs the energy stored in the flywheel comprising of a uniform cylinder of 99 kg of radius R that consists of a maximum angular speed of around 440 rev/s. The flywheel should deliver an average of around 2.20 MJ of energy for each kilometer of distance. Determine the smallest value of R for which the car can travel 300 km devoid of the flywheel requiring to be recharged.