Answer
$742.2g$
Work Step by Step
This is a problem utilizing the density formula as a means to obtain the mass of an object. We are given the density of lead, $11.34g/cm^{3}$, and the diameter of the sphere, 5 cm, and told to find the mass. First we have to find the volume, using the volume of a cube formula, which is $V=\pi\cdot\frac{4}{3}\cdot r^{3}$. The radius is half the diameter, $2.5$ cm. When we use this formula, we find the volume is $65.450 cm^{3}$.
Now we use the density formula, where density=mass/volume. When we substitute in our known values, we find the mass to be
$65.450\cdot 11.34=742.2 g$
