What Percentage of a Sphere's Surface Area is in Contact with the Surface?

Thread starter kaloyan5
Start date Aug 7, 2009
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Aug 7, 2009

kaloyan5

This may sound stupid but what percantage of the surface area of a sphere is in contact with the surface it is on?

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Aug 7, 2009

GPPaille

0%, only one point is in contact. The area of the contact surface is 0.

Related to What Percentage of a Sphere's Surface Area is in Contact with the Surface?

What is the formula for calculating the surface area of a sphere?

The formula for calculating the surface area of a sphere is 4πr², where r is the radius of the sphere.

How do you calculate the percentage of a sphere's surface area in contact with a surface?

To calculate the percentage of a sphere's surface area in contact with a surface, you would divide the surface area of the contact area by the total surface area of the sphere and then multiply by 100.

What factors affect the percentage of a sphere's surface area in contact with a surface?

The percentage of a sphere's surface area in contact with a surface is affected by the size and shape of the sphere, as well as the angle and shape of the surface it is in contact with.

Can the percentage of a sphere's surface area in contact with a surface ever be 100%?

No, it is not possible for a sphere's surface area to be in contact with a surface at every point. This is due to the nature of a sphere's curved surface.

How is this concept applied in real-life situations?

The concept of percentage of a sphere's surface area in contact with a surface is often used in engineering and manufacturing, especially when designing objects that need to roll or rotate smoothly on a surface, such as wheels or ball bearings.