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# Why does a sphere have the lowest surface area to volume ratio?

Updated: 12/14/2022

Wiki User

12y ago

because the surface area is spread out over the volume of mass

Wiki User

12y ago

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Q: Why does a sphere have the lowest surface area to volume ratio?
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### 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.

### 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.

### 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.

### 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.

### 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 4&pi;r2 The volume of the sphere = 4/3(&pi;r3) Therefore the surface area to the volume ratio will be 4&pi;r2/{4/3(&pi;r3)} = 3/r It means that the surface area to volume ration increases with the decrease in radius of the sphere and vice versa.

### How do you find what the ratio of surface area to volume for a sphere is?

1) Calculate the area 2) Calculate the volume 3) Divide the area by the volume to get the ratio

### 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?

If the shape is a perfect sphere, then the ratio of surface area to volume will always be: 4&pi;r2 / 4/3&pi;r3 = 3/r If the volume = 500m3, then we can say: 500m3 = 4/3&pi;r3 375m3 = r3 r = 5&#8731;3 m So the ratio of surface area to volume on that sphere would be 3 / (5&#8731;3 m), or: 3&#8731;3/5m