Define an object named outfile that can be used to write data from program variables to a file.

Frist, we define the variable outfile by this line:
ofstream outfile;
Since the variable is to be used to write data from program variables, we don't assign it any type of variable for it to be a general variable for different values

There are quite a few applicable words here. modeling, programming, etc. let me know the options. 

Hypothesis: volumes of both figures are equal.the volume of  figure 1 is: .the volume of figure 2 is: .since , you can conclude that and . so, .volumes of figures are equal only when an angle in the basis is right (then figures will be the same), in another cases volume of figure 1 is less than volume of figure 2.the hypothesis was not correct in all cases.