A cylindrical tunnel 5.5m in diameter is driven through a mountain for a distance of 7km. the ezcavated earth i s spread to a depth of 50cm on the surface of a road 11m wide. Calculate the number of ilometers of the road that can be covered with all of the excavated earth. (Take pi as 22/7)
These are nice problems ...
I think this one can be solved by just working out the volumes. Figure the volume of the cylinder, then divide it by (0.5 x 11).
thanks for that quotation and more espcially for the help
Total excavated earth: Pi*5.5m squared*7km=665500 cubic metres (Taking Pi as 22/7)
Length of road covered: 665500/(0.5m*11m)=121km.