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Let V and A be the volume and area of a sphere with radius r, then

V = 4/3*pi*r3 and A = 4*pi*r2

so that V/A = r/3

The measure of the volume is r/3 times the measure of its surface area.

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Q: How is the surface area of a sphere related to its volume?
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A sphere has a surface area of 324 pi square inches What is the volume?

A sphere with a surface area of 324pi cubic inches has a volume of: 3,054 cubic inches.


What is the volume of a shape with a surface area of ten cm?

depends on the shape... if its a sphere or a prism or what. You'll get different answers because they have different surface area to volume ratios. Sphere will give you the biggest volume for a given surface area.


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 with the following measurements surface area 300m2 volume 500m3?

0.6 is the surface area to volume ratio.

Related questions

What is the surface area of a sphere with a volume of 3500pi?

The surface area of a sphere with a volume of 3500pi is: 2,391 square units.


How do you find the surface area of a sphere when its volume is 523.5987756 cubic cm?

Use the formula for volume to solve for the radius of the sphere and then plug that radius into the formula for the surface area of a sphere.


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.


A sphere has a surface area of 324 pi square inches What is the volume?

A sphere with a surface area of 324pi cubic inches has a volume of: 3,054 cubic inches.


What is the volume of a shape with a surface area of ten cm?

depends on the shape... if its a sphere or a prism or what. You'll get different answers because they have different surface area to volume ratios. Sphere will give you the biggest volume for a given surface area.


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?

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


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 with the following measurements surface area 300m2 volume 500m3?

0.6 is the surface area to volume ratio.


What is the volume and surface area of a sphere with a radius of 3 meters?

Volume = 113.097 m3 Surface area = 113.097 m2


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)