Orange Question?

Question

How many regular sized oranges would fit into the Earth? Imagine all the Oranges!

Answer 1

I'm going to differ with Wushuboy here. Okay, assume the Earth is a hollow sphere, 12,756,000 meters in diameter (24,900 miles in circumference).  Let's take the circumference of the orange to be 10", giving a diameter of 3.2", or 0.0813 meters.

The volume of a sphere is the diameter cubed times Pi (3.141592653....), divided by 6.  So the volume of the earth is 1.09E21 meters cubed.

The volume of an orange is 0.000281 meters cubed. So we can divide the earth volume by the orange volume to get the number of oranges, except that oranges are spherical so they don't take up the entire volume like cubes would. There's always some empty space between the oranges since they have a curved surface. How do we account for that? Well, the densest arrangement of spheres is the hexagonal close packed arrangement where you can get a density of 0.74048.  So multiply the earth volume by 0.74048 and divide by the orange volume.

I got 3.03E24 oranges.

Answer 2

If you mean how many would fit in the earth if the earth was a hollow shell?

Figure earth is about 25,000 miles around. An orange is about 10 inches around. A = pi*r^2

The area of earth is approx. 1.9625*10^9 square miles

The area of the orange is approx. 314 square inches

To simplify im going to convert 314 inches to 7.821666*10^-08 square miles

Number of oranges = 1.9525*10^9 square miles/7.821666*10^-08 square miles

= 2499467504748988

or approx.  2.5 quadrillion oranges

edit: the banana guy is right, i goofed and calculated using area instead of volume

Answer 3

I don't know off hand.  Once you know the circumference of the Earth and the average volume of an orange it wouldn't take that long to calculate.  That would be a lot of oranges.

Answer 4

I went out side and dug a hole and put 1 orange in it, so I'll say 1!