Final answer:
The question asks for the evaluation of triple integrals and electric flux problems, topics typically covered in college-level multivariable calculus and physics courses. Due to incomplete details, a specific solution cannot be provided, but general strategies include identifying geometric boundaries and choosing an appropriate coordinate system.
Step-by-step explanation:
The question provided appears to be related to multivariable calculus, specifically the evaluation of triple integrals over regions bounded by given surfaces. While the fragments of text do not give a complete problem, they suggest calculating the volume bounded by a paraboloid and comparing a surface integral involving a hemisphere. In a general approach to these kinds of problems, one needs to express the limits of integration in terms of the given geometric constraints and then perform the integration sequentially for each variable.
As for the specific calculation involving electrostatics, we can identify topics such as electric flux through surfaces, the calculation of magnetic fields, and the trajectory of a projectile. These are advanced topics typically covered in college-level physics courses, specifically in the study of electromagnetism.
Given that the details of the problem are incomplete, it's not possible to provide a step-by-step solution or a specific example. However, it is important to identify the geometrical boundaries correctly and choose a suitable coordinate system (such as Cartesian, cylindrical, or spherical coordinates) for simplifying the integral. Techniques for solving such problems often include symmetries to simplify the integration process and converting complicated functions into more convenient terms.