A ditch measures 48 meters in length, 16.5 meters in width, and 4 meters in depth. What fraction of this ditch can be filled with the soil excavated from a cylindrical tunnel that has a diameter of 4 meters and a length of 56 meters?

Explanation

Calculate the volume of the ditch (length × width × depth) and the volume of the cylindrical tunnel (π × radius² × length). The ratio of the tunnel's volume to the ditch's volume gives the fraction of the ditch that can be filled. This fraction is 2/9.