Question

10 challenge: find the density of a soda can with a radius of 3.25 cm, a height of 12.2 cm, and a mass of 40 g

Explanation:

Step1: Calculate the volume of the soda - can

The soda - can is in the shape of a cylinder. The volume formula for a cylinder is $V=\pi r^{2}h$. Given $r = 3.25$ cm and $h=12.2$ cm.
$V=\pi\times(3.25)^{2}\times12.2=\pi\times10.5625\times12.2\approx3.14\times10.5625\times12.2 = 403.71$ $cm^{3}$

Step2: Calculate the density

The density formula is $
ho=\frac{m}{V}$, where $m = 40$ g and $V\approx403.71$ $cm^{3}$.
$
ho=\frac{40}{403.71}\approx0.099$ g/$cm^{3}$

Answer:

$0.099$ g/$cm^{3}$