What if Uhud were made of gold?

Narrated Abu Huraira:
Allah’s Apostle said, “If I had gold equal to the mountain of Uhud, it
would not please me that it should remain with me for more than three
days, except an amount which I would keep for repaying debts.”
Bukhari :: Book 3 :: Volume 41 :: Hadith 574

Let’s turn this into a math problem, we can approximate the shape of the mountain, figure out its volume, use its density to calculate its mass and then use the current price of gold to determine the value of a hypothetical Uhud-sized pile of gold.

Height of Mt Uhud = 142 m (see Wikipedia) = 14200 cm = 1.42 x 10^4 cm [Yes, I’m going to do this in metric. If you have a problem with that, tough luck.]

Density ~ 2.7 g/cm^3  (average density of continental crust)

Based on pictures of Uhud and what I know about mountains, I am going to assume it is a broad flat cone with a radius equal to its height, r=h = 1.42 x 10^4 cm

Vcone = 1/3 (pi *r^2*h)

if r = h, then

V= 1/3 (pi*h^3)

D = 2.7 g/cm ^3 = M/V

M = D*V

M = (2.7 g/cm^3) *(1/3)(pi)(1.42 x 10^4 cm)^3

= (2.7/3) (pi) (1.42)^3 (10^12)

= 8.27 x 10^12 g

24K (pure) Gold = $907.21 USD per ounce (as of 3/11/09)

$ 907.21 x 1 oz/ 31.1 g = $29.17 per g

$29.17 per g * 8.27 x 10 ^12 g =

over 241 trillion dollars!

Split up equally across the population of the world (6.76 billion – Wikipedia again), it could provide every man, woman, and child in the world with over $35,000 USD. Of course that would cause ruinous global inflation and I’m sure a host of other problems, but it is interesting to think about.


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  1. #1 by DJ remixes on September 15, 2011 - 6:20 am

    Appreciate the article, many thanks.

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