SOLUTION: The world's longest bridge is 3 separate tunnles built side by side each is a half cylinder that is 50,000 meters long and 4 meters high. How many cubic meters of dirt had to be r

Algebra ->  Volume -> SOLUTION: The world's longest bridge is 3 separate tunnles built side by side each is a half cylinder that is 50,000 meters long and 4 meters high. How many cubic meters of dirt had to be r      Log On


   



Question 214831: The world's longest bridge is 3 separate tunnles built side by side each is a half cylinder that is 50,000 meters long and 4 meters high. How many cubic meters of dirt had to be removed to build the tunnel?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
volume of a cylinder is pi%2Ar%5E2%2Ah
each of these tunnels is one half of a cylinder.
l = 50000 meters
r = 4 meters.
volume of each tunnel is %281%2F2%29%2Api%2A4%5E2%2A50000 = 1,256,637.061 cubic meters.
3 * that = 3,769,911.184 cubic meters.
-----
that's how much dirt had to be removed.
-----