A cylinder has and

PHYSICS · Single correct · A Level · Physics · Measurements and their errors · Measurements and their errors

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\%

(b)

3.6\%

(c)

2.3\%

(d)

6.4\%