First, let's find the volume of the spherical object.
The formula for the volume of a sphere is:
$Rightarrow V = frac(4)(3) pi r^(3)$
$Rightarrow V = frac(4)(3) cdot pi cdot 28.9^(3)$ $"cm"^(3)$
$Rightarrow V = frac(4 pi)(3) cdot 24,137.6$ $"cm"^(3)$
$therefore V = 101,107.2$ $"cm"^(3)$
Then, let's find the mass of the spherical object.
The formula for is:
$Rightarrow "Density" = frac("mass")("volume")$
Let's express it in terms of $"mass"$:
$Rightarrow "Mass" = "density"$ $cdot$ $"volume"$
$Rightarrow "Mass" = 3.52$ $"g/cm"^(3)$ $cdot$ $101,107.2$ $"cm"^(3)$
$Rightarrow "Mass" = 355,897.3$ $"g"$
$Rightarrow "Mass" = 355,897.3 times 10^(- 3)$ $"kg"$
$therefore "Mass" = 355.9$ $"kg"$