Since we need to find out the amount of water that the case can hold, this means that we actually need the vase's volume capacity. Given that the vase is cylindrical in shape, then volume can be calculated as V = πr²h where r is the radius of the cylinder and h is the height. So, for this cylindrical vase, volume is V = (3.14)(4)²(10) = 5024 in³ Therefore, the total amount of water that can be filled into Mary's vase is 5024 in³.