JCMathsNumerical integration, volumes and techniques10–15 min
Volume Spinner
Pick enough trapezia to meet an error bound, tune a cone-like solid of revolution to a target volume, and choose u and dv to evaluate integrals exactly.
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The experiment opens when it comes into view.
Theory and model assumptions
Pick enough trapezia to meet an error bound, tune a cone-like solid of revolution to a target volume, and choose u and dv to evaluate integrals exactly.
Teacher guidance
H2 Mathematics: Integration and applications (trapezium rule, volumes of revolution, substitution and by parts)
Expected time: 10–15 minutes.