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How far must a 2.0-cm-diameter piston be pushed down into one cylinder of a hydraulic lift to raise an 9-cm-diameter piston by 30 cm

Answer :

onyebuchinnaji

The distance the 2.0-cm-diameter piston must be pushed down to raise 9 cm diameter is 607.5 cm.

Distance the piston must be pushed down

The distance the piston must be pushed down is calculated as follows;

A₁d₁ = A₂d₂

πr₁²d₁ = πr₂²d₂

r₁²d₁ = r₂²d₂

(1)²(d₁) = (4.5)²30

d₁ = 607.5 cm

Thus, the distance the 2.0-cm-diameter piston must be pushed down to raise 9 cm diameter is 607.5 cm.

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