Best Answer

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

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

Write your answer...

Submit

Still have questions?

Continue Learning about Natural Sciences

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.

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.

If the shape is a perfect sphere, then the ratio of surface area to volume will always be: 4πr2 / 4/3πr3 = 3/r If the volume = 500m3, then we can say: 500m3 = 4/3πr3 375m3 = r3 r = 5∛3 m So the ratio of surface area to volume on that sphere would be 3 / (5∛3 m), or: 3∛3/5m

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.

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.

Related questions

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.

It has the lowest ratio of surface area to volume.

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.

0.6 m-1 is the ratio of surface area to volume for a sphere.

0.6 is the surface area 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 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.

-- 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)

If they have the same radius then it is: 3 to 2

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.

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

If the shape is a perfect sphere, then the ratio of surface area to volume will always be: 4πr2 / 4/3πr3 = 3/r If the volume = 500m3, then we can say: 500m3 = 4/3πr3 375m3 = r3 r = 5∛3 m So the ratio of surface area to volume on that sphere would be 3 / (5∛3 m), or: 3∛3/5m