What is the total hydrostatic force on the walls of a cylindrical water tower 40' high and having a radius of 21'? [The density of water is 62.4 lbs/ft³.] A) 69,161,000 lbs B) 165,000 lbs C) 6,587,000 lbs D) 13,174,000 lbs

Question

Quizplus · Accepted Answer

The hydrostatic force on a cylindrical tank is given by the formula:

F = ρghA

where
ρ = density of water (62.4 lbs/ft³)
g = acceleration due to gravity (32.2 ft/s²)
h = height of water (40 ft)
A = cross-sectional area of tank (πr²)

Plugging in the values, we get:

F = 62.4 x 32.2 x 40 x π x 21²
  = 6,587,065.6 lbs

Therefore, the total hydrostatic force on the walls of the cylindrical water tower is approximately 6,587,000 lbs. The closest answer choice is C.

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