Final answer:
The question is incomplete as it doesn't provide the type of solid nor its surface area formula, making it impossible to determine values of h. To solve such a problem, one would typically use the surface area formula of the given solid, set it greater than 46 square units, and solve for h.
Step-by-step explanation:
The question seems to ask for the values of h where the surface area of a solid is greater than a specific value, which is 46 square units. However, there's not enough context to determine the exact nature of the solid or its dimensions. If we consider the formula given D² = h(2R+h) and relate it to surface area, we can see that the question might be about geometric relationships between the surface area and a dimension of a solid.
Without additional information, it's not possible to calculate the values of h directly. Generally, to find the values of h one would solve an inequality where the surface area formula for the given solid is set greater than 46 square units. The student should review the problem context to find the explicit formula for the surface area and solve the inequality accordingly.