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What solid shape minimises surface area?
the sphere has the smallest surface area for any given volume.
Why is a bubble spherical?
The spherical shape is the smallest surface area for a given volume. This comes about naturally when a surface under pure surface tension contains a fluid volume.
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.
Why is a ball a sphere and not a cube?
A ball is a sphere rather than a cube because a sphere is the shape with the least surface area for a given volume. This is known as the isoperimetric inequality, which states that among all shapes with the same volume, a sphere has the smallest surface area. This property makes a sphere the most efficient shape for enclosing a given volume, which is why objects like balls, bubbles, and planets tend to form into spheres in nature. In contrast, a cube has more surface area for a given volume compared to a sphere, making it less efficient in terms of minimizing surface area.
How to Maximize volume given surface area?
make it spherical
What geometric shape has the smallest surface area for a given volume?
A sphere
What solid shape minimises surface area?
the sphere has the smallest surface area for any given volume.
Why is a bubble spherical?
The spherical shape is the smallest surface area for a given volume. This comes about naturally when a surface under pure surface tension contains a fluid volume.
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.
Why does a sphere have the lowest surface area to volume ratio?
A sphere has the lowest surface area to volume ratio compared to other shapes because it has the smallest surface area for a given volume. This is due to its symmetrical shape, which minimizes the surface area while maximizing the volume. The sphere's surface area is spread out evenly in all directions, making it more compact and efficient.
The most effective shape for achieving critical mass is a?
sphere, as it has the smallest surface area for a given volume. This means it can hold the most material in the smallest space, allowing for efficient packing and maximum density.
How can I work out the smallest needed width volume and height for a box with a given volume?
A cuboid, of a given volume, has minimum length etc when each of them is equal to the cube root of the volume.
At what temperature do the combined effects of contraction and expansion produce the smallest volume of water?
Water has its smallest volume (for any given mass) at 4 degrees Celsius.
Why is a ball a sphere and not a cube?
A ball is a sphere rather than a cube because a sphere is the shape with the least surface area for a given volume. This is known as the isoperimetric inequality, which states that among all shapes with the same volume, a sphere has the smallest surface area. This property makes a sphere the most efficient shape for enclosing a given volume, which is why objects like balls, bubbles, and planets tend to form into spheres in nature. In contrast, a cube has more surface area for a given volume compared to a sphere, making it less efficient in terms of minimizing surface area.
Why does liquid water take the shape of a sphere?
Liquid water tends to form spherical droplets due to surface tension, which minimizes the surface area of the water droplet. This results in a spherical shape, as it has the smallest surface area for a given volume of water.
What physical phenomenon cause the spherical shape of raindrops?
The spherical shape of raindrops is due to surface tension, which causes water molecules to be pulled towards each other, minimizing surface area. This results in a spherical shape, as it has the smallest surface area for a given volume.
Why do alveoli have folds in them?
increase surface area for a given volume
