The maximum capacity of a glass box is 1900cm^3. A cylindrical cup of radius 4cm and height 10cm is filled to the top with water. The water is then poured into the rectangular container. How many full cups are needed to fill the box with water completely?

First, draw a diagram of the information given, making sure to label any capacities and dimensions. Now read the question again and find what it’s asking for, which is how many full cylindrical cups can fill the box. To do this, you need to find the volume that one cup can hold. Then you need to find how many times the volume you obtained will fit into the maximum volume of the box, which is 1900cm^3.The formula for the volume of a cylinder is V=pir^2h. The number of cups can be found by dividing 1900cm^3 by the volume of one cup. So in this case, V=pi1610=160pi cm^3. 1900/160 pi = 3.78 cups. Since the question asks for full cups, the number of cups obtained should be an integer. 3.78 cups rounds up to 4. Therefore the answer must be 4 cups.