Find the water pressure at ground level to supply water to the third floor of a building 8.00 m high with a pressure of 325 kPa at the third level

So the given is
h=8.00
Ptop=325kPa
Density water = 1000

Would I need to set it up like
325+1000*9.81*8.00

78805

To find the water pressure at ground level, you can use the principle of hydrostatic pressure. The formula for hydrostatic pressure is:

P = P₀ + ρgh

Where:
P₀ = Initial pressure at a given level (in this case, at the third level)
ρ = Density of the fluid (in this case, water, with a density of 1000 kg/m³)
g = Acceleration due to gravity (approximately 9.81 m/s²)
h = Height difference between the two levels

In this case, the initial pressure at the third level (P₀) is given as 325 kPa, and the height difference (h) is 8.00 m.

Therefore, you can calculate the pressure at ground level (P) using the formula:

P = 325 kPa + 1000 kg/m³ * 9.81 m/s² * 8.00 m

First, convert the given pressure to Pascals by multiplying it by 1000:

P = 325000 Pa + 1000 kg/m³ * 9.81 m/s² * 8.00 m

Next, calculate the product of density, gravity, and the height difference:

P = 325000 Pa + 78480 kg⋅m/s²

Finally, add the two values together to find the pressure at ground level:

P = 325000 Pa + 78480 Pa

P = 403480 Pa

So, the water pressure at ground level to supply water to the third floor of the building is 403480 Pa.