The diameter and height of a cylinder are measured by a meter scale to be 12.6 ± 0.1 c m and 34.2 ± 0.1 c m , respectively. What will be the value of its volume in appropriate significant figures?

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V = π d 2 h 4 = π 4 12.6 2 34.2 c m 3 d V V = 2 d d d + d h h Converting to errors ∆ V V = 2 ∆ d d + ∆ h h ∆ V 4260 = 2 0.1 12.6 + 0.1 34.2 ⇒ ∆ V = 80 c m 3 V = 4260 ± 80 c m 3

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