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first you must find the equations for the surface area and for the volume of a sphere.

I believe the volume is 4/3 *pi *r^3,

making the surface area 4*pi*r^2

the ratio is the one number over the other so:

(4*pi*r^2)/(4/3*pi*r^3) = 3/r

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12y ago
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Wiki User

11y ago

It is: 1 to 2

area = 4*pi*radius squared and volume = 4/3*pi*radius cubed

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Q: What the ratio of surface area to volume for a sphere is?
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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.


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.


What is the ratio of surface area to volume for a sphere with the Surface area of 300m2 and a volume of 500 m3?

Well, first of all, that's no sphere.-- A sphere with surface area = 300 has volume = 488.6.-- A sphere needs surface area of 304.6 in order to have volume = 500.But this is just a ratio exercise, not a geometry problem, so we'll just use the numbersgiven in the question. It's just some sort of wacky humongous paramecium:Surface area = 300Volume = 500Ratio of (surface area)/(volume) = 300/500 = 0.6 .


What is the ratio of surface area to volume for a sphere when the surface area equals 432m2 and volume equals 864m3?

This is pretty easy, just divide 432 by 864 and you get a 1:2 ratio.


What is the ratio of surface area to volume for a sphere when the surface area id 588 meters squared an volume of 1372 meters cubed?

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Related questions

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.


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.


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.


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 surface area and volume m?

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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.


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)


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.


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


Does a basketball have a lot of surface to volume ratio?

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What is the ratio of surface area to volume for a sphere with the Surface area of 300m2 and a volume of 500 m3?

Well, first of all, that's no sphere.-- A sphere with surface area = 300 has volume = 488.6.-- A sphere needs surface area of 304.6 in order to have volume = 500.But this is just a ratio exercise, not a geometry problem, so we'll just use the numbersgiven in the question. It's just some sort of wacky humongous paramecium:Surface area = 300Volume = 500Ratio of (surface area)/(volume) = 300/500 = 0.6 .


What is the ratio of surface area to volume for a sphere with the following measurements Surface area equals 588 m2Volume equals 1372 m3?

0.4 m-1 is the ration of surface area 588m2 to volume 1372m3 for a sphere.