geometry

posted by .

PLEASE HELP ME! i have this homework due tomorrow and i only have 1 question left and am sooo desperate for an answer:

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 -

    surface 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 -

    The 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 -

    I 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 -

    thank you sooo much damon :)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. HELP!!!!EMERGENCY WITH THE POEM!!!

    do anyone knows a poem named "Instruction for Joining a New Society", which about the desire to become an American?
  2. PLeASE Help

    Can someone please take a look at my biology questions I have posted?
  3. ict year 8

    i`m struggling with my ict homework. i need to find the definitions of words for the internet.ive looked on the sites for other people who have asked but i can`t find it.please help my homework is due in tomorrow. definition of groups …
  4. Chemistry

    how can i know if a solution is aqueous or solid?
  5. Axia Math 117

    I am of need of HELP. I am working on the word problems for AXIA math 117 and I do not understand the first problem. I have listed the information below. I have tried many times and I have not figured this out. My assignment is due …
  6. HISTORY

    (This homework question was removed due to a copyright claim submitted by K12 Inc.) Please, you DO NOT have to write me an essay, but if you could just answer my question and maybe make a list of things for each country and what they …
  7. GEOMETRY

    PLEASE HELP ME, I HAVE AN EXAM TOMORROW AND THIS THE ONLY QUESTION I HAVE. THE AREA OF A REGULAR HEXAGON IS 35 IN SQUARED. FIND THE LENGTH OF A SIDE. ROUND YOUR ANSWER TO THE NEAREST TENTH. I KNOW THE ANSWER IS 3.7 BUT I DON'T KNOW …
  8. math

    i also have a math test tomorrow and i get sooo confused with irregular shapes in geometry
  9. geometry

    I have a 50 question assigment that its due tomorrow and I'm stuck on this question. "Write the contrapositive,converse,and inverse of this statement.Determine whether they are true or false.If its false.find a conterexample "Two angles …
  10. science

    hi. can you help me with my homework? here is my homework. How are bacteria different from protists. I hope you can help me. Have a nice night. Also, this is due tomorrow. Thank for helping me. Please answer this fast and I know you

More Similar Questions