All of gold mined in history would barely fit in two Olympic-sized swimming pool

Question

All of gold mined in history would barely fit in two Olympic-sized swimming pools. What is the total value of the gold if it costs $1000 per ounce?

a)Given the following: density of gold is = 19.32 g/cm3 , the volume of an Olympic swimming pool is 2500 m3 , and 1 oz is equivalent to 28.35 g

bHow many sets of solid (not plated) gold denture can be made with all of the mined gold from part a? Approximate the average tooth to be a cylinder with a diameter of 7 mm and a height of 10 mm and 32 teeth make up a full denture.

Explanation / Answer

a. total mass of gold,

m =*V

=19.32*2500*10^6

=4.83*10^10 grams

=4.83*10^10 / 28.35

=1.704*10^9 oz

Total value of gold,

= m*1000$

= 1.7037*10^12 $

b.volume of 1gold denture= 32*pi*7^2*10/4 =32*0.385 cm^2

No. gold denture can be made:

= 2500*10^6 / 0.385*32

=2.029*10^8

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