Answer:
The Main can serve water to neighborhoods that are 25 m above this location.
Explanation:
From the question we are given that
The water pressure is [tex]W_p = 270 \ kPa = 270 *10^3Pa[/tex]
The height to serve water [tex]h= 25m[/tex]
Now assuming that the fluid is in-compressible
Generally the density of water is [tex]\rho = 1000 kg/m^3[/tex]
The water pressure is mathematically represented as
[tex]W_p = \rho g h_w[/tex]
Where [tex]h_w[/tex] is the height of water corresponding to the pressure [tex]P_g[/tex]
Substituting values we have
[tex]270*10^3 = (1000)(9.81)*h_w[/tex]
Making [tex]h_w[/tex] the subject of the formula
[tex]h_w = 27.52m[/tex]
Looking this value of [tex]h_w[/tex] we see that [tex]h_w > h[/tex] which mean that the pressure a the mains is sufficient to supply the water to a height of [tex]25m[/tex]
