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No one has accurately estimated the interior volume of the entire US Capitol, however, we do know the volume of the central rotunda.
The Rotunda is a circular room in the center of the building beneath the Capitol dome. It is 96 feet in diameter and rises 180 feet from the floor to the canopy, with a volume of approximately 1.3 million cubic feet.
So how many marbles can fit in the Rotunda? A Lot.
Seriously, here is the math.
First som assumptions need to be defined.
Marbles are assumed to be regular spheres of constant size.
Marbles will pack into a closest pack arrangement. This assumes 26% of the volume is wasted (i.e. the gaps between the closely packed spheres).
Assume each marble is 1/2 inch in diameter.
Volume of a sphere is 4/3 *pi * radius cubed
V = 1.33333 * 3.14159 * .25 *.25 * .25
V = 0.065449628 inches cubed.
Converting this to cubic feet we get
V = 3.78759421 × 10-5 cubic feet
Now calculate the "wasted space" in the Rotundra as 24% we get
Avail Vol = 76% * 1.3 million cubic feet
Avail Vol = 988,000 cubic feet.
Dividing Avail Vol by the vol of each marble and we get...
n = 988000 / 3.78759421 × 10-5
n= 2.60851597 × 1010 marbles
As I said before, that's a lot of marbles
What else can I help you with?
How many marbles can you fit in a jar?
That depends on the size of the marbles, as well as the size and shape of the jar.
How many marbles fit in quart jar?
186
How many marbles can fit into a plastic bag?
The number of marbles that can fit into a plastic bag depends on the size of the bag and the size of the marbles. Generally, you could fit hundreds to thousands of small marbles into a standard-sized plastic bag.
How many marbles fit in a 16oz jar?
The number of marbles that fit in a 16oz jar depends on the size of the marbles. For example, if we consider standard glass marbles with a diameter of about 0.5 inches, you can fit approximately 40-50 marbles in a 16oz jar, accounting for the space between them. However, if the marbles are larger or smaller, the quantity will vary accordingly.
How many marbles can you fit into an empty bag?
The number of marbles that can fit into an empty bag would depend on the size of the marbles and the size of the bag. To calculate the maximum number of marbles that can fit, you would need to determine the volume of the bag and the volume of each marble. By dividing the volume of the bag by the volume of a single marble, you can find the maximum number of marbles that can fit into the bag.
How many marbles can be fit into St James park?
Quite a few
How many marbles can you fit in a 12oz jar?
The number of marbles that can fit in a 12oz jar depends on the size of the marbles. For standard marbles, which are about 0.5 inches in diameter, you could fit approximately 30 to 40 marbles in a 12oz jar. However, this estimate can vary based on the packing efficiency and the exact dimensions of the jar. To get a precise count, one would need to consider the jar's internal dimensions and the size of the marbles used.
How many marbles can you fit in 1 cubic foot?
It depends on the size of the marble.
How many times does 124 marbles fit into 6000 bags?
48 times.
How many marbles fit into an empty paper bag?
It depends on the size of the marbles and on the size of the paper bag, neither of which was given in the question. Please restate the question.
How many 1 marbles fit in a square foot?
To determine how many 1-inch marbles can fit in a square foot, we first need to convert the square footage to square inches. Since there are 144 square inches in a square foot (12 inches x 12 inches), we can fit 144 marbles with a diameter of 1 inch in a square foot. This calculation assumes the marbles are arranged in a perfect grid without any gaps between them.
Is there such thing called giant marbles that humans can fit in?
no
