Question

What is the mass in kilograms (kg) of a metal ball whose density is 8.96 g/cm3 and a diameter of 12 cm?

Answer 1

m = 8.1 kg

Step-by-step 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 :

`V=(4)/(3)\pi r^3\\\\V=(4)/(3)\pi (6)^3\\\\V=904.77\ cm^3`

Now using formula,

`m=d* V\\\\m=8.96\ g/cm^3* 904.77\ cm^3\\\\m=8106.73\ g`

or

m = 8.1 kg

So, the mass of the metal ball is 8.1 kg.