Wednesday

July 23, 2014

July 23, 2014

Posted by **CJ** on Thursday, January 27, 2011 at 7:17am.

The diameter of the Dome of the Rock in Jerusalem is 20m. If it is plated with gold that is 5cm thick, find the cost of plating the dome in gold given that 1kg of gold costs $43,395 and 1g of gold is equal to 19.3cm>3

p.s cm>3 means cm cube

- geometry -
**Damon**, Thursday, January 27, 2011 at 7:43amsurface area of sphere = (4/3) pi r^2

so

surface area of hemisphere = (2/3)pi r^2

here r = 10 m

so

surface area = (200/3) pi meters^2

there are 10^4 cm^2 per meter^2

so

surface area = (200/3) pi*10^4 cm^2

volume = surface area * depth

= (200/3) pi *10^4 * 5 cm^3

grams = volume*density

= (200/3) pi *10^4 * 5 (1/19.3)

cost per gram = 43.395

so

cost = (200/3) pi *10^4 * 5 (1/19.3)*43.395

- geometry -
**drwls**, Thursday, January 27, 2011 at 7:52amThe volume of the gold would be

V = (pi/4)D^2*(thickness) = 15.7 m^3

= 15.7*10^6 cm^3

The mass would be (density)*V = 303.2 *10^6 g = 303.2*10^3 kg

Multiply that by the cost per kg.

I get about 13 billion dollars

- geometry -
**drwls**, Thursday, January 27, 2011 at 7:59amI treated it as a 5 cm layer over a cylinder. Damon treated it as a hemisphere. He is correct.

http://www.historyofscience.com/G2I/timeline/images/dome_of_the_rock.jpg

- geometry -
**CJ**, Thursday, January 27, 2011 at 9:55amthank you sooo much damon :)

- GOLD DUST FOR SALE -
**BENSON IMO**, Tuesday, January 17, 2012 at 4:47amGOLD DUST FOR SALE

Dear Sir/ Madam,

We are small scale Gold miners here on the sub-region of West Africa. We have some huge

quantity of alluvial Gold Dust for sale at a considerable price of $30,500USD per kilo

which is below world market price, 22 carat and 92.05% purity. If you are interested, do

not hesitate to get back to us as soon as possible for us to give you our full co-operate

offer (FCO)

Best Regards

MR BENSON IMO

**Related Questions**

GEOMETRY - PLEASE HELP ME, I HAVE AN EXAM TOMORROW AND THIS THE ONLY QUESTION I ...

Axia Math 117 - I am of need of HELP. I am working on the word problems for AXIA...

geometry - I have a 50 question assigment that its due tomorrow and I'm stuck ...

math - i also have a math test tomorrow and i get sooo confused with irregular ...

HISTORY - (This homework question was removed due to a copyright claim submitted...

PLeASE Help - Can someone please take a look at my biology questions I have ...

ict year 8 - i`m struggling with my ict homework. i need to find the definitions...

HELP!!!!EMERGENCY WITH THE POEM!!! - do anyone knows a poem named "Instruction ...

English - I have to write an essay due tomorrow about King Lear (which I haven't...

Weird question.........H.W due in tomrrow...quick - Sarah Jane has a set of ...