If the diameter of a cylinder is 12.6 ± 0.1 cm and its height is 34.2 ± 0.1 c m , then find the volume of the cylinder to the nearest significant figure.

Question

If the diameter of a cylinder is 12.6 ± 0.1 cm and its height is 34.2 ± 0.1 c m , then find the volume of the cylinder to the nearest significant figure., 4264.4 ± 81 c m 3, 4260 ± 81 c m 3, 4300 ± 80 c m 3, 4260 ± 80 c m 3

MARKS App · Accepted Answer

V = πd 2 h 4 = π 4 12.6 2 34.2 cm 3 dV 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 cm 3 V = 4260 ± 80 cm 3

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