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Volumes of Revolution

Emily Davis

Emily Davis

5 min read

Study Guide Overview

This study guide covers calculating the volume of revolution around the x-axis using the disc method. It explains the formula V = ฯ€โˆซab[f(x)]ยฒ dx and provides a worked example, practice questions, exam tips, and a glossary of key terms like solid of revolution, region, and definite integral.

Question 1 of 8

What is a solid of revolution? ๐Ÿค”

A 2D shape rotated around an axis

A 3D shape formed by rotating an area around an axis

A 3D shape formed by shifting an area

Any 3D shape with circular cross-sections