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?

Step-by-step solution

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