Answer:
m = 8.1 kg
Explanation:
Density of metal ball, d = 8.96 g/cm³
Diameter of ball, d = 12 cm
Radius of ball, r = 6 cm
Density of an object=mass/volume
The metal ball is in the shape of sphere whose volume is given by :
[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\pi (6)^3\\\\V=904.77\ cm^3[/tex]
Now using formula,
[tex]m=d\times V\\\\m=8.96\ g/cm^3\times 904.77\ cm^3\\\\m=8106.73\ g[/tex]
or
m = 8.1 kg
So, the mass of the metal ball is 8.1 kg.