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: $1 atm = 1 0^{5} Pa$ .)

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TestHub · Accepted Answer

Pressure at the base: P 1 ​ = P 0 ​ + h ρ g (atmosphere pushes from the top, column weight over area A ). h = ρ g P 1 ​ − P 0 ​ ​ h = 4 × 1 0 3 × 10 ( 13 − 1 ) × 1 0 5 ​ = 4 × 1 0 4 12 × 1 0 5 ​ = 30 m

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