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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.


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 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.


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.


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


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.