How to Calculate the Volume of a Truncated Cone: Step-by-Step Guide

• \(( R ) =\) radius of the larger base
• \(( r ) =\) radius of the smaller base (the section that was removed)
• \(( h ) =\) height of the frustum (not the original cone’s height)

Examples

Practice Questions:

1. What is the volume of a frustum with \( R = 10 \text{ cm}\), \( r = 6 \text{ cm}\), and \( h = 12 \text{ cm}\)?
2. A truncated cone has \( R = 15 \text{ cm}\), \( r = 5 \text{ cm}\), and \( h = 20 \text{ cm}\). What is its volume?

1. \( \approx 2461.76 \text{ cm}^3 \)
2. \( \approx 6803.3 \text{ cm}^3 \)