jackie02462 jackie02462
  • 01-10-2020
  • Chemistry
contestada

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

Respuesta :

Muscardinus Muscardinus
  • 06-10-2020

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.

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