A bicycle pump is used to inflate a tire. The initial tire (gauge) pressure is 210kPa (30psi).

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A bicycle pump is used to inflate a tire. The initial tire (gauge) pressure is 210kPa (30psi). At the end of the pumping process, the final pressure is 310 kPa (45psi). If the diameter of the plunger in the cylinder of the pump is 3.0cm, what is the range of the force that needs to be applied to the pump handle from beginning to end?
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