Physics

Problem

A cylinder has

r = 5.00\,\text{cm} \pm 0.05\,\text{cm}

and

h = 10.0\,\text{cm} \pm 0.1\,\text{cm}

. Its mass is measured as

m = 785\,\text{g} \pm 5\,\text{g}

. Taking

\pi

as exact, determine the percentage uncertainty in its density

\rho = \dfrac{m}{\pi r^{2} h}

. a)

3.0\%

3.6\%

2.3\%

6.4\%