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  3. ZuAI AP College Board Calculus AB/BC
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Volume with Washer Method: Revolving Around the x- or y-Axis

Samuel Baker

Samuel Baker

8 min read

Next Topic - Volume with Washer Method: Revolving Around Other Axes
Study Guide Overview

This study guide covers the washer method for finding volumes of solids of revolution. It explains the washer method formula,
∫cdπ(f(x)−b)2−π(g(x)−b)2dx\int_{c}^{d}\pi (f(x)-b)^2-\pi(g(x)-b)^2 dx∫cd​π(f(x)−b)2−π(g(x)−b)2dx, where f(x) is the outer radius and g(x) is the inner radius, and y=b is the axis of rotation. It provides examples of how to determine the bounds of integration (c and d) and identify f(x) and g(x). The guide emphasizes the importance of graphing the functions and axis of rotation and includes practice questions.

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Previous Topic - Volume with Disc Method: Revolving Around Other AxesNext Topic - Volume with Washer Method: Revolving Around Other Axes

Question 1 of 11

What is a washer in the context of the washer method? 🤔

A solid disc used for volume calculation

A circle with another circle cut out of the middle

A rectangle used for area calculation

A solid sphere used to find volume