Solids not generated by Revolution

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Presentation transcript:

Solids not generated by Revolution Volumes of Solids Solids Solids of Revolution Solids not generated by Revolution Examples: Classify the solids

Solids not generated by Revolution Volumes of Solids Solids Solids of Revolution Solids not generated by Revolution

Solids not generated by Revolution Volumes of Solids Solids Solids of Revolution Solids not generated by Revolution Cross-Sections Sec(6.2) Volumes Using Cross-Sections Volumes Using Cylindrical Shells Sec(6.2) Sec(6.3) The Disk Method The Washer Method

Solids of Revolution Volumes of Solids Solids of Revolution needs visualization skills The following slides provide better opportunities to improve such skills. Solids of Revolution Volumes Using Cross-Sections Volumes Using Cylindrical Shells Sec(6.1) Sec(6.2) The Disk Method The Washer Method

Visualize it in your mind Solids of Revolution rotate the red line about the x-axis Visualize it in your mind

Visualize it in your mind Solids of Revolution solid obtained by rotating a region Visualize it in your mind What is the shape of a solid if you rotate the Square about the y-axis What is the shape of a solid if you rotate the triangle about the y-axis

Solids of Revolution

Solids of Revolution

Solids of Revolution

Solids of Revolution

Solids of Revolution

solid obtained by rotating a region VOLUMES solid obtained by rotating a region use your imagination