Final answer:
The calculation for the ratio of the effective size (D10) to the diameter through which 30% of the total mass is passed (D30) cannot be made with the information given, as the Coefficient of Uniformity (Cu) does not directly provide this ratio. Additional data points for D30 and D10 would be required for this calculation in the context of soil gradation.
Step-by-step explanation:
The question pertains to the soil gradation characteristics commonly used in geotechnical engineering and sedimentology to describe the distribution and size range of particles within a soil sample. The coefficients of soil gradation, like the Coefficient of Uniformity (Cu) and the Coefficient of Gradation (Cc), are essential in understanding soil behavior and suitability for various engineering applications.
In this case, the Coefficient of Uniformity (Cu) is given as 4.0, which is calculated as the ratio of the sieve size through which 60% of the soil is finer to the size through which 10% is finer (D60/D10). The Coefficient of Gradation (Cc) is ideal at 1.0, usually calculated between D30, D60, and D10 sizes. However, the question asked for the ratio of the effective size (D10) to the sieve size that passes 30% of the soil (D30), commonly known as D30/D10. Typically, this ratio isn't directly correlated with the Cu value provided, and additional specific gradation data points would be necessary to calculate this particular ratio precisely. Since we're not provided with D30 or D10 specifically, a confident and accurate answer isn't possible with the given data.