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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 id 588 meters squared an volume of 1372 meters cubed?

3 to 7


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.

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.


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.


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


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

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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)


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-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.


Which geometric shape has the lowest surface area to volume ratio?

a sphere


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.


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?

3 to 7


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.