---
title: "A hydraulic lift consists of two circular pistons. The input piston has a radius \\( r \\) and the output piston has a radius \\( 3 r \\). If a force \\( F \\) is applied to the input piston, what is the magnitude of the force exerted by the output piston?"
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date_modified: "2026-08-18T02:38:31+00:00"
---

# A hydraulic lift consists of two circular pistons. The input piston has a radius \( r \) and the output piston has a radius \( 3 r \). If a force \( F \) is applied to the input piston, what is the magnitude of the force exerted by the output piston?

A hydraulic lift consists of two circular pistons. The input piston has a radius \( r \) and the output piston has a radius \( 3 r \). If a force \( F \) is applied to the input piston, what is the magnitude of the force exerted by the output piston?

- **A.** \[ 3 F \]
- **B.** \[ 9 F \]
- **C.** \[ \dfrac{F}{9} \]
- **D.** \[ F \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/107133/*