---
title: "What is the ratio of the moment of inertia of a cylinder of mass \\( m \\) and radius \\( r \\) to the moment of inertia of a hoop of the same mass and same radius?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/105414/"
date_modified: "2025-12-05T22:14:48+00:00"
---

# What is the ratio of the moment of inertia of a cylinder of mass \( m \) and radius \( r \) to the moment of inertia of a hoop of the same mass and same radius?

What is the ratio of the moment of inertia of a cylinder of mass \( m \) and radius \( r \) to the moment of inertia of a hoop of the same mass and same radius?

- **A.** \[ 1:1 \]
- **B.** \[ 1:2 \]
- **C.** \[ 2:1 \]
- **D.** \[ 1:4 \]
- **E.** \[ 4:1 \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/105414/*