Tec de Monterrey Escuela Preparatoria Departamento de Matemáticas Key Activity “Volume of a solid of revolution” Calculus II (PM6013) Second part The following activities are carried out at this stage: 1) Build with the use of some design software (Wolfram Mathematica, SolidWorks) a virtual 3D model of the modeled object. 2) Estimate the volume of the solid of revolution using definite integrals. a. Write and evaluate the necessary integrals for the solid of revolution. Use the equations of the modeled piecewise function. In case the integral of any of the equations is difficult to evaluate, use GeoGebra or Wolfram Alpha to do it. b. Add the volume of each section to get the total volume of the solid of revolution. 3) Prepare a report in Word that includes the following information. a. Screenshot of the virtual model in 3D of the object b. Estimation of the volume of the solid of revolution, writing the necessary integrals and the evaluation process. Integrals can be written using Word's equation editor, or they can be handwritten and scanned. When using a program to evaluate the integrals, attach a screenshot that shows the integral and the result. 4) Send the report through CANVAS. 1
