First slide

Accuracy; precision of instruments and errors in measurements

Question

A thin wire has length of $21.7 cm$ and radius $0.46 mm$ . Calculate the volume of the wire to correct significant figures.

Moderate

A

$0.24 {cm}^{3}$
B

$0.34 {cm}^{3}$
C

$0.44 {cm}^{3}$
D

$0.14 {cm}^{3}$

Solution

$V = π r^{2} l = (π) (0.046 cm)^{2} (21.7 cm)$
$= 0.1443112 {cm}^{3}$
$= 0.14 {cm}^{3}$ (rounding off to two significant digits)

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