# A solid metal sphere has a radius of 4.00 cm and a mass of 1.794 kg. What is the density of the metal in g/cm^3?

Jan 15, 2016

$6.692 g / c {m}^{3}$

#### Explanation:

From definition, density is the mass per unit volume.

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

$= \frac{1794 g}{\frac{4}{3} \pi \times {4}^{3}}$

$= 6.692 g / c {m}^{3}$.