Volumes of Revolution

Study Guide Overview

This study guide covers the disc method for finding volumes of solids of revolution. It focuses on rotations around axes parallel to the x-axis and y-axis. Key topics include setting up integrals using (y−k)2(y-k)^2 or (x−k)2(x-k)^2, rewriting equations, and applying the method through worked examples. Practice questions, a glossary, and exam strategies are also provided.

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Question 1 of 7

What is the volume of the solid generated when the region bounded by y=xy=x, y=0y=0, x=0x=0 and x=1x=1 is rotated about the x-axis? 🤔

π4\frac{\pi}{4}

π3\frac{\pi}{3}

π2\frac{\pi}{2}

π\pi