The height of the aluminum cylinder is 10 cm. What is the height of the copper cylinder if it exerts

The height of the aluminum cylinder is 10 cm. What is the height of the copper cylinder if it exerts the same pressure on the table?

Data: h1 (height of the aluminum cylinder) = 10 cm = 0.1 m.

Reference values: ρ1 (density of aluminum) = 2700 kg / m3; ρ2 (copper density) = 8900 kg / m3.

Since both cylinders exert the same pressure on the table, the equality will be true: F1 / S1 = F2 / S2.

m1 * g / S1 = m2 * g / S2.

ρ1 * V1 * g / S1 = ρ2 * V2 * g / S2.

ρ1 * S1 * h1 * g / S1 = ρ2 * S2 * h2 * g / S2.

ρ1 * h1 = ρ2 * h2, whence h2 = ρ1 * h1 / ρ2.

h2 = 2700 * 0.1 / 8900 = 0.03 m or 3 cm.

Answer: The height of the copper cylinder is 3 cm.