Answer:
The value of the Golden Igloo is $227.4 million.
Explanation:
First, we need to find the inner and the outer volume of the half-spherical shell:


The total volume is given by:

Where:
: is the inner volume
: is the inner radius = 1.25/2 = 0.625 m
: is the outer volume
: is the outer radius = 1.45/2 = 0.725 m
Then, the total volume of the Igloo is:
![V_{T} = \frac{2}{3}\pi r_{o}^{3} - \frac{2}{3}\pi r_{i}^{3} = \frac{2}{3}\pi [(0.725 m)^{3} - (0.625 m)^{3}] = 0.29 m^{3}](https://tex.z-dn.net/?f=%20V_%7BT%7D%20%3D%20%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r_%7Bo%7D%5E%7B3%7D%20-%20%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r_%7Bi%7D%5E%7B3%7D%20%3D%20%5Cfrac%7B2%7D%7B3%7D%5Cpi%20%5B%280.725%20m%29%5E%7B3%7D%20-%20%280.625%20m%29%5E%7B3%7D%5D%20%3D%200.29%20m%5E%7B3%7D%20)
Now, by using the density we can find the mass of the Igloo:

Finally, the value (V) of the antiquity is:
Therefore, the value of the Golden Igloo is $227.4 million.
I hope it helps you!
Answer:
1.004×10²²
Explanation:
The molar mass of carbon is 12 g/mol
which means that:
<u>1 mole of carbon atoms has a mass of 12 grams.</u>
Since, diamond is a allotrope of carbon.
Mass of 1.00-carat diamond in grams is:
1.00 carat = 0.200 g
<u>
Since, 1 mole of C contains 6.022×10²³ atoms of C</u>
So,
12 grams contains 6.022×10²³ atoms of C
1 gram contains 6.022×10²³/ 12 atoms of C
0.200 gram contains (6.022×10²³/ 12)×0.200 atoms of C
Thus,
<u>1 carat diamond contains 1.004×10²² atoms of C.</u>
The halogens are five non-metallic elements found in group 17 of the periodic table. The term "halogen" means "salt-former" and compounds containing halogens are called "salts". All halogens have 7 electrons in their outer shells, giving them an oxidation number of -1.
Forces along the horizontal
force that caused initial velocity in x-dir
force that caused final velocity in x-dir
forces along the vertical
force that caused initial velocity in y-dir
force that caused final velocity in y-dir
force of gravity