A cylindrical section of a tree trunk 50 cm in diameter and 75 cm long is seen rolling at a speed of 12 m/s down a sloping road below a sawmill....

A cylindrical section of a tree trunk 50 cm in diameter and 75 cm long is seen rolling at a speed of 12 m/s down a sloping road below a sawmill. (Wood has a density of 750 kg/m3.) Assuming that the road has an incline of 5% (meaning that if you travel 100 m along the road, you go up or down by 5 m), at least how far up the road is the sawmill? Describe any assumptions or approximations that you make.