A cylinder made of aluminum is 10 cm high. How tall is a copper cylinder of the same diameter if it exerts the same pressure on the table?
To determine the height of the copper cylinder, we will use the formula: P = F / S = mх * g / S = ρх * Vx * g / S = ρх * hx * S * g / S = ρх * hx * g, whence P / g = ρх * hx and ρа * hа = Р / g = ρm * hm; hm = ρa * hа / ρm.
Constants and variables: ρа – density of aluminum (ρа = 2700 kg / m3); hа is the height of the aluminum cylinder (hа = 10 cm = 0.1 m); ρm – copper density (ρm = 8900 kg / m3).
Perform the calculation: hm = ρa * ha / ρm = 2700 * 0.1 / 8900 = 0.03 m = 3 cm.
Answer: The copper cylinder should be 3 cm high.
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