Physics

Problem

The volume of a cylindrical rod is calculated from

V = \pi r^{2} h

. Measurements give the radius

r = 1.60 \pm 0.02\,\text{m}

and the length

h = 2.50 \pm 0.05\,\text{m}

. Taking

\pi

as exact, the value of

V

with its uncertainty, stated to the correct number of significant figures, is: a)

20.1 \pm 0.6\,\text{m}^{3}

20.11 \pm 0.04\,\text{m}^{3}

20.1 \pm 0.9\,\text{m}^{3}

20 \pm 1\,\text{m}^{3}