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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