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Volumes of Revolution

Emily Davis

Emily Davis

6 min read

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 (yโˆ’k)2(y-k)^2 or (xโˆ’k)2(x-k)^2, rewriting equations, and applying the method through worked examples. Practice questions, a glossary, and exam strategies are also provided.

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? ๐Ÿค”

ฯ€4\frac{\pi}{4}

ฯ€3\frac{\pi}{3}

ฯ€2\frac{\pi}{2}

ฯ€\pi