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## Homework Statement

A fire-hose must be able to shoot water to the top of a building 35.0 m tall when aimed straight up. Water enters this hose at a steady rate of 0.500 m³.s¯¹ and shoots out of a round nozzle.

(a) What is the maximum diameter that this nozzle can have? (4 marks)

(b) If the only nozzle available is twice as great, what is the highest point that the water can reach?

## Homework Equations

Vcylinder=pir^2h

gh=1/2v^2

## The Attempt at a Solution

first i found the initial velocity required which was 26.21m/s. then 0.5m^3/s=pi*r^2h/s therefore h/s is the velocity, then i solved that and got 15.6cm......... For b i did basically the reverse and got 2.2m.... Can someone please check this.