(a) Jones house Pa (b) Smith house Pa Please show work, will rate asap! Most tow

Question

                                     (a) Jones house
                     Pa
                    
                    (b) Smith house
                     Pa
                    
                    
                    Please show work, will rate asap!

Most towns use a water tower to store water and provide pressure in the pipes that deliver water to customers. The figure below shows a spherical water tank that holds 6.00 Times 105 kg of water when full. Note that the tank is vented to the atmosphere at the top and that the pipe delivering water to customer Smith is a height h = 6.25 m above the level of the pipe delivering water to customer Jones. Determine the gauge pressure of the water at the faucet of each house when the tank if full.

Explanation / Answer

volume of the tank, V = mass/density

V = 6*10^5/1000 = 600 m^3

let r is the radius

V = (4/3)*pi*r^3


r = ( (3/4)*v/pi )^(1/3)

r = 5.23 m

a) Pgauge = rho*g*(18 + 2*5.23 - 6.25)

= 1000*9.8*(22.31)

= 218638 pa

b) Pgauge = rho*g*(18 +2*5.23)

= 1000*9.8*(28.46)

= 278908 pa

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