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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
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
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.
How do you get the formula of the area of the sphere?
Surface area of a sphere = 4*pi*radius2
What solid shape minimises surface area?
the sphere has the smallest surface area for any given volume.
Why is rain in the shape of a sphere?
The surface tension of water is such that it will attempt to create the smallest surface area possible. That will always be a sphere.
What geometric shape has the smallest surface area for a given volume?
A sphere
What geometric shape has the smallest surface area for given volume?
A sphere
What does volume and surface area have in common?
The volume of a body and the surface area arerelated but not in a direct way. For a given volume, the smallest surface area of an object is seen then the object is a sphere. As the shape flattens from a sphere, so the surface area becomes larger. When the object approaches an infinitely small thickness, the surface area approaches and infinite size.
What is the surface area of a sphere?
The formula for the surface area of a sphere is 4*pi*r2
Surface area of sphere?
Surface area of sphere is : A= 4*pie*r^2
Formula for area of a sphere?
There is NO equation for the area of a sphere Assuming you mean surface area, the surface area of a sphere of radius r is 4πr^2.
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.
What is the surface area of a sphere with radius 6?
The surface area of a sphere with radius 6 is: 452 square units.
What is the formula for the surface area of a sphere with radius r equals 5?
Surface area of a sphere: A = 4πr2So, surface area = 4pi52
How do you determine the surface area of a partial sphere?
Take the surface area of the sphere as of it was whole, and divide by the amount of the sphere that is missing.
