HKCEE MC #22: Rotational Volume via Definite Integral

① This example demonstrates how to compute the volume of a solid of revolution (such as a pyramid-like or conical shape) using a definite integral, corresponding to a multiple-choice question from the Hong Kong Certificate of Education Examination (HKCEE). ② Core mathematical concepts include definite integrals, volume of revolution, linear functions as boundary curves, and subtraction to find the difference between two volumes. ③ Construction highlights: based on the summary, objects such as a, c, g, h, i, j, p, b, α, f and text objects (text1-text5) are used, likely defining a linear function f and an axis of rotation, with a slider α to animate the rotation and compute the volume difference via integration. ④ Suitable for senior secondary students (especially those preparing for HKDSE or similar curricula) to review applications of integrals and solid geometry, and for teachers to visually demonstrate the concept of volume of revolution.