Question

Olympic medals have a

diameter of 6cm and a
thickness of 1cm.
Gold has a density of
19g/cm3. Work out
mass of a gold medal
(to 2 dp).

Answer 1

Answer: 536.94 g

Explanation:

First, we know that:

mass = density*volume

We already know the density of the gold, this is:

19 g/cm^3

So we only need to find the volume of the gold medal.

We can think of the medal as a cylinder.

For a cylinder of diameter D and height H the volume is:

V = pi*(D/2)^2*H

where pi = 3.14

For the case of the medal, we have that:

D = 6cm

H = 1cm

Then the volume of the medal is:

V = 3.14*(6cm/2)^2*1cm = 28.26cm^3

Now that we know the volume of the medal, we can find the mass if we use the first equation:

Mass = (19 g/cm^3)*(28.26 cm^3) = 536.94 g