# Question fe0fc

Sep 23, 2015

$\rho = {\text{3.79 g/cm}}^{3}$

#### Explanation:

All you really have to do to solve this problem is find the volume of the sphere using the given formula, convert the mass from kilograms to grams, and divide these two values to get density.

$\rho = \frac{m}{V}$

The mass will be

1.79color(red)(cancel(color(black)("kg"))) * "1000 g"/(1color(red)(cancel(color(black)("kg")))) = "1790 g"

The volume will be

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

$V = 4 \pi \cdot {\left(3.35\right)}^{3} {\text{cm"^3 = "472.4 cm}}^{3}$

The density will thus be

rho = "1790 g"/("472.4 cm"""^3) = color(green)("3.79 g/cm"""^3)#