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Thinking about the two dimensional equivalent, sharp corners basically waste perimeter while encompassing little additional area. As you increase the number of corners in a shape, you end up carving out more area for the same input of perimeter. As a shape's number of sides approaches larger and larger numbers, it rounds out to the point where you can think of a circle as a shape with infinite number of sides and corners.
The same goes for three dimensional figures, substituting volume for area. Essentially, sharp corners are wasteful, the more corners you have the less wasteful they are, so if you have an infinite number of corners, you'll be enclosing the most volume/area with minimum surface area/perimeter.
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What shapes have the smallest surface area per volumn?
The fewer the number of sides that a polygon has, the higher the surface area to volume ratio. This increases until the polygon has an infinite number of sides, or has become a perfect sphere, when the ratio is the smallest.
How do you do formula for surface area using sphere?
Surface area of a sphere = 4*pi*radius2
Does a sphere have lateral area?
It is incorrect to say that sphere has lateral area. First sphere do not have sides like other geometric figure. In fact a line or plane can intersect the surface of a sphere in just one point. Sphere has no lateral side. It is enough to say surface area of sphere than lateral surface area of the sphere.
What is the surface area of a 14 inch sphere?
The surface area of a 14-inch sphere is 615.75 square inches.The formula for the surface area of a sphere is 4*pi*r2 where r=radius
How do you get the formula of the area of the sphere?
Surface area of a sphere = 4*pi*radius2
