---
title: "Water exits a small hole at the bottom of a large, open cylindrical tank. If the height of the water level above the hole is \\( H \\), the exit speed is \\( v \\). If the tank is replaced by one with double the cross-sectional area but the same water height \\( H \\), what is the new exit speed?"
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/107166/"
date_modified: "2026-08-18T02:38:13+00:00"
---

# Water exits a small hole at the bottom of a large, open cylindrical tank. If the height of the water level above the hole is \( H \), the exit speed is \( v \). If the tank is replaced by one with double the cross-sectional area but the same water height \( H \), what is the new exit speed?

Water exits a small hole at the bottom of a large, open cylindrical tank. If the height of the water level above the hole is \( H \), the exit speed is \( v \). If the tank is replaced by one with double the cross-sectional area but the same water height \( H \), what is the new exit speed?

- **A.** \[ v \]
- **B.** \[ \sqrt{2}\,v \]
- **C.** \[ 2v \]
- **D.** \[ \frac{1}{2}v \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/107166/*