A Mole of soccer balls would cover the surface of the earth to a depth of how much?. By: Davy and Mike. HOW TO FIND OUT. We need to find out the surface area of the Earth (SE) and the area of the widest part of the soccer ball (WAS).
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A Mole of soccer balls would cover the surface of the earth to a depth of how much?
By: Davy and Mike
Area of a Circle: πr2
Km 2 to cm 2 = 10 x 10 9
Diameter: 22.2 cm
Surface Area of the widest part:
A = πr2
A = 3.14 x (22.2 cm / 2)2
A = 386.88 cm 2
Surface Area: 5.1 x 108km2
5.1 x 1018 cm2
Area of a mole of soccer ball = SA of Ball x 1 mole
=386.88cm2 x 6.022 x 1023
= 2.3 x 1026cm 2
Number of times covering the Earth = SA of 1 mole of soccer ball ÷ SA of Earth
=2.3 x 10 26 ÷ 5.1 x 1018
= 4.51 x 10 7
Depth it would cover to = # of times it would cover the Earth x Soccer ball’s Diameter
= 4.51 x 10 7x 22.2 cm
= 1.001 x 10 9cm
A mole of soccer balls would cover the surface of the Earth to a depth of 1.001 x 10 9cm or 10012 km