Three fire hoses are connected to a fire hydrant. Each hose has a radius of 0.014 m. Water enters the hydrant through an underground pipe of radius 0.089 m. In this pipe the water has a speed of 3.3 m/s. (a) How many kilograms of water are poured onto a fire in one hour by all three hoses

The total fluid mass can be obtained by multiplying the mass flow rate by the time flow rate.

Mass flow rate is given as

m = ρAv

Where

m is mass flow rate

ρ is density

A is area and it is given as πr²

v is velocity

Then,

M = mt

Where M is mass and t is time

Them,

M = ρAv * t

M = ρ * πr² * v * t

Given that,.

Radius of pipe is

r = 0.089m

velocity of pipe is

v = 3.3m/s

Time taken is

t = 1 hour = 3600 seconds

Density of water is

ρ = 1000kg/m³

M = ρ * πr² * v * t

M = 1000 * π * 0.089² * 3.3 * 3600

M = 295,628.52 kg

M = 2.96 * 10^5 kg