Respuesta :

Answer : The number of marbles lined up across the circumference of the earth can be, [tex]8.013\times 10^{10}[/tex] marbles

Explanation :

First we have to calculate the diameter of tiny marble.

[tex]Diameter=2\times Radius[/tex]

r = radius of marble = 0.25 mm

[tex]Diameter=2\times (0.25mm)=0.50mm[/tex]

Now we have to calculate the number of marbles can be lined up across the circumference of the earth.

Given:

Circumference of the earth distance = [tex]24900mile=4.00641\times 10^{10}mm[/tex]

conversion used: [tex]1mile=1.609\times 10^6mm[/tex]

Number of marbles can be lined up = [tex]\frac{4.00641\times 10^{10}mm}{0.50mm}=8.013\times 10^{10}[/tex] marbles

Thus, the number of marbles lined up across the circumference of the earth can be, [tex]8.013\times 10^{10}[/tex] marbles

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