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Why does a sphere have the lowest surface area to volume ratio?
Wiki User
∙ 12y ago
because the surface area is spread out over the volume of mass
Wiki User
∙ 12y ago
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.
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Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
Does a basketball have a lot of surface to volume ratio?
No, a basketball does not have a high surface-to-volume ratio because the volume of a sphere increases more rapidly than its surface area as its size increases.
Surface area equals 300 m2 Volume equals 500 m3. What is the ratio of surface area to volume for a sphere with the following measurements?
The ratio of surface area to volume for a sphere is constant and equal to 3/r, where r is the radius. Given the measurements, you can calculate the radius of the sphere using the formula for volume of a sphere (V = 4/3 * π * r^3) and then find the ratio as 3/r.
Summarize the relationship between surface area and volume as a cell grows?
A cell is roughly spherical in shape and the relationship between surface area and volume is therefore expressed by:-The volume of a sphere of radius R is (4/3)*Pi*R3.The surface area of a sphere of radius R is 4*Pi*R2The surface area to volume ratio is therefore 3/RAs the radius R gets bigger the ratio gets smaller.
What is meant by surface area to volume ratio?
Surface area to volume ratio refers to the ratio of the total surface area of an object to its total volume. This ratio is important in biology and chemistry because it influences the efficiency of processes like diffusion, absorption, and heat exchange. Objects with a high surface area to volume ratio have more surface area relative to their volume, which allows for more efficient exchange of materials.
Which geometric shape has the lowest surface area to volume ratio?
A sphere has the lowest surface area to volume ratio of all geometric shapes. This is because the sphere is able to enclose the largest volume with the smallest surface area due to its symmetrical shape.
Why is a sphere one of the strongest shapes to use in construction?
It has the lowest ratio of surface area to volume.
Why does a drop fall in a round shape?
For a fixed volume, a sphere is the shape with the lowest surface area to volume ratio. Surface tension is minimized when the drop forms a sphere, and molecules always tend toward the position which minimizes energy.
Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
What is the ratio of surface area to volume for a sphere with the following measurements. Surface area equals 300 m2 Volume equals 500 m3?
0.6 m-1 is the ratio of surface area to volume for a sphere.
Does a basketball have a lot of surface to volume ratio?
No, a basketball does not have a high surface-to-volume ratio because the volume of a sphere increases more rapidly than its surface area as its size increases.
What is the ratio of surface area to volume for a sphere with the following measurements surface area 300m2 volume 500m3?
0.6 is the surface area to volume ratio.
Why the dot of water is always sphere?
Surface tension is in equilibrium. The shape of a sphere has the highest volume to surface area to radius ratio. This shape is the lowest energy level a volume of liquid can have. Deforming it into another shape would involve an increase in surface area and an increase in the average radius.
What is the ratio of surface area to volume for a sphere with the following measurements surface area 588m2 volume 1372m3?
-- The ratio of 588 to 1,372 is 0.4286 (rounded) -- A sphere with surface area of 588 has volume closer to 1,340.7 . (rounded)
What is the ratio of surface area to volume for a sphere with surface area and volume m?
If they have the same radius then it is: 3 to 2
Surface-area-to-volume ratio in nanoparticles?
Surface area to volume ratio in nanoparticles have a significant effect on the nanoparticles properties. Firstly, nanoparticles have a relative larger surface area when compared to the same volume of the material. For example, let us consider a sphere of radius r: The surface area of the sphere will be 4πr2 The volume of the sphere = 4/3(πr3) Therefore the surface area to the volume ratio will be 4πr2/{4/3(πr3)} = 3/r It means that the surface area to volume ration increases with the decrease in radius of the sphere and vice versa.
Surface area equals 300 m2 Volume equals 500 m3. What is the ratio of surface area to volume for a sphere with the following measurements?
The ratio of surface area to volume for a sphere is constant and equal to 3/r, where r is the radius. Given the measurements, you can calculate the radius of the sphere using the formula for volume of a sphere (V = 4/3 * π * r^3) and then find the ratio as 3/r.
