If solid will break under pressure greater than 13 atm. and that solid has a specific gravity of 4, what is the maximum height of a circular column made from the solid that can be built at the earth's surface ? (Note: 1atm = 105 Pa.)

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Question

If solid will break under pressure greater than 13 atm. and that solid has a specific gravity of 4, what is the maximum height of a circular column made from the solid that can be built at the earth's surface ? (Note: 1atm = 10⁵ Pa.)

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P₀A + hA ρg = P₁A
h = $\frac{P_{1} - P_{0}}{ρg}$

= $\frac{12 \times 10^{5}}{4 \times 10^{3} \times 10}$ = 30 m