# A sphere made out of a material that has a density of "2.7 g cm"^(-3) has a mass of "82 g". What is the radius of the sphere?

Jan 10, 2015

$\mathrm{de} n s i t y = \frac{m a s s}{v o l u m e}$

$V o l u m e = \frac{m a s s}{\mathrm{de} n s i t y}$

$V o l u m e = \frac{82}{2.7} = 30.37 c {m}^{3}$

The volume of a sphere is given by:

$V = \frac{4}{3} \pi {r}^{3}$

So ${r}^{3} = \frac{3 V}{4 \pi} = \frac{3 \times 30.37}{4 \times 3.142} = 1.274$

$r = 1.084 c m$