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## Homework Statement

A hose of inside diameter ##1.5cm## can reach a distance of ##1.5m##. A nozzle is inserted in the hose and water can now reach ##24m##. What is the inside diameter of the nozzle? The height is the same in both cases.

## Homework Equations

Use continuity equation ##v_{hose}A_{hose}=v_{nozzle}A_{nozzle}##

## The Attempt at a Solution

Continuity equation gives ##1.5/t\pi r_{hose}^{2}=24\pi r_{nozzle}^{2}## which is the same as ##1.5(0.015/2)^{2}=24r_{nozzle}^{2}##. So ##r_{nozzle}=0.1875cm## and the inside diameter will be twice that or ##d=0.375cm##.

The solution however is ##d=0.75cm## (twice what I got). Where am I wrong?

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