# Finding the Volume of Revolution

Finding the volume of revolution is a key topic in A-Level Further Mathematics. However, students often struggle with setting up the integral correctly, misunderstanding the axis of rotation, and making errors in the integration process. These tutorials address these common mistakes through clear, step-by-step explanations and practical examples.

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## Part 1: Volume of Revolution About the x-axis

Key Skills:

• Understanding the concept of rotating a function about the x-axis.
• Setting up the integral to find the volume of the solid of revolution.
• Performing the integration correctly.

Watch Part 1 of the Tutorial

In this tutorial, we cover the basics of finding the volume of revolution when a function is rotated about the x-axis. Students will learn how to set up and evaluate the integral to find the exact volume of the solid.

## Part 2: Volume of Revolution About the x-axis – Advanced Example

Learning Progression:

• Applying the volume of revolution concept to more complex functions.
• Understanding the impact of different limits of integration.

Watch Part 2 of the Tutorial

Building on the foundation from Part 1, this session provides a more complex example of finding the volume of revolution about the x-axis.

## Part 3: Volume of Revolution About the y-axis

• Understanding the concept of rotating a function about the y-axis.
• Setting up the integral to find the volume of the solid of revolution around the y-axis.

Watch Part 3 of the Tutorial

In this part of the series, we look into the concept of finding the volume of revolution when a function is rotated about the y-axis. Students will learn how to adjust their setup and calculations for this different axis of rotation.

## Part 4: Volume of Revolution About the y-axis – Advanced Example

• Applying the volume of revolution concept to more complex functions around the y-axis.
• Understanding how to make x2 the subject by from a quadratic equation.

Watch Part 4 of the Tutorial

In the final part of our series, we explore more advanced examples of finding the volume of revolution about the y-axis. We use the method of completing the square to make x2 the subject of a quadratic equation.

Exclusive Membership Benefits

As a member of Mr Mathematics, you gain access to comprehensive lesson plans and student handouts that accompany each tutorial. These resources include:

Full Lesson Plans: Structured PowerPoint presentations with starter, main, and plenary sections.

Differentiated Worksheets: Additional practice problems tailored to various skill levels, ensuring all students can effectively learn and apply the concepts.

Detailed Solutions: Step-by-step solutions to reinforce understanding and support self-assessment.

By joining Mr Mathematics, you not only enhance your learning experience but also ensure consistent practice and mastery of A-Level Mathematics concepts.

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