Answer:
First, we need to calculate the volume of concrete needed to line the canal. The volume of a cylinder is given by the formula:V = πr^2hWhere V is the volume, r is the radius of the cylinder, and h is the height (length) of the cylinder.Since we are lining a canal, the cross-sectional shape of the canal is a rectangle, not a circle. However, we can still use the formula for the volume of a cylinder by treating the width of the canal as the radius and the height of the canal as the length.In this case, the width of the canal is w and the height is h, so the volume of the concrete needed to line the canal is:V = πw^2hWe are given that the length of the canal is 227 ft, so h = 227 ft. We are not given the width of the canal, so we cannot use the formula to calculate the volume of concrete needed.Next, we need to calculate the volume of concrete needed with the 12% allowance for waste and overexcavation. The volume of concrete needed with the allowance is the original volume plus 12% of the original volume.The volume of concrete needed with the allowance can be calculated using the following formula:V' = V + (V * 12%)Where V' is the volume of concrete needed with the allowance and V is the original volume.Since we do not know the original volume, we cannot use this formula to calculate the volume of concrete needed.To solve this problem, we need to know the width of the canal in order to calculate the volume of concrete needed. Without this information, it is not possible to determine the volume of concrete that must be delivered.
Step-by-step explanation: