---
title: "A cylindrical tank of water (height \\( H \\)) is punctured at a height \\( h \\) above the bottom. How far from the base of the tank will the water stream land (in terms of \\( h \\) and \\( H \\))? What must the value of \\( h \\) be such that the distance at which the stream lands will be equal to \\( H \\)?"
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url: "https://nerd-notes.com/ubq/88177/"
date_modified: "2025-04-17T05:59:32+00:00"
---

# A cylindrical tank of water (height \( H \)) is punctured at a height \( h \) above the bottom. How far from the base of the tank will the water stream land (in terms of \( h \) and \( H \))? What must the value of \( h \) be such that the distance at which the stream lands will be equal to \( H \)?

A cylindrical tank of water (height \( H \)) is punctured at a height \( h \) above the bottom. How far from the base of the tank will the water stream land (in terms of \( h \) and \( H \))? What must the value of \( h \) be such that the distance at which the stream lands will be equal to \( H \)?

**Part a)** Determine the horizontal distance from the base of the tank at which the water stream will land, expressed in terms of \( h \) and \( H \). *(3 points)*

**Part b)** Determine the value of \( h \) (in terms of \( H \)) for which the horizontal distance calculated above is equal to \( H \). *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/88177/*