The student uses correct mathematical notation, symbols, and terminology consistently throughout the IA, demonstrating a clear understanding of the equations involved in modeling the volume of the dome. However, the student fails to define key terms and variables, such as the constants a and b in the ellipse equation, as well as the term "solid of revolution," which detracts from the clarity of the exploration. While the introduction effectively describes the main concepts and the student employs multiple forms of mathematical representation appropriately, there are shortcomings in explaining mathematical calculations and specifying the degree of accuracy for rounded values. Overall, while the student has successfully adhered to some subcriteria, there are notable areas for improvement regarding definitions and explanations.