Question

Asked Jul 22, 2019

A water tower is a familiar sight in many towns. The purpose of such a tower is to provide storage capacity and to provide sufficient pressure in the pipes that deliver the water to customers. The drawing shows a spherical reservoir that contains 7.16 x 10^{5} kg of water when full. The reservoir is vented to the atmosphere at the top. For a full reservoir, find the gauge pressure that the water has at the faucet in **(a)** house A and **(b)** house B. Ignore the diameter of the delivery pipes.

Step 1

Mass of water stored in the reservoir is 7.16×^{5 }kg, and density of water is 1000 kg/m^{3}

The volume of the container is.

Step 2

The container is spherical. Hence the volume will be 4/3πr^{3}, compare this volume equation with the above obtained answer to find the radius of the spherical container and then the diameter.

Step 3

(a)

Write the expression for required gauge p...

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