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Surface area of sphere is 4 x pi x r x r

Volume of sphere is (4/3) x pi x r x r x r

Hence ((4/3) x pi x r x r x r) / (4 x pi x r x r) = 1/2

((4/3) x r) / (4) = 1/2

(1/3) x r = 1/2

r = 1 and 1/2

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What is the ratio of a surface area to volume for a sphere with following measurements surface area m and volume?

The ratio of surface area to volume for a sphere can be expressed using the formulas for surface area ( A = 4\pi r^2 ) and volume ( V = \frac{4}{3}\pi r^3 ). Therefore, the ratio ( \frac{A}{V} ) simplifies to ( \frac{3}{r} ). This means that the surface area to volume ratio decreases as the radius of the sphere increases. For a specific sphere with known surface area ( m ) and volume, you can calculate the ratio by finding the corresponding radius.


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 if surface area to volume for a sphere with the following measurements?

To find the ratio of surface area to volume for a sphere, you can use the formulas for surface area ( A = 4\pi r^2 ) and volume ( V = \frac{4}{3}\pi r^3 ). The ratio ( \frac{A}{V} ) simplifies to ( \frac{3}{r} ). This means that as the radius of the sphere increases, the surface area to volume ratio decreases. If you provide specific measurements, I can give you the exact ratio.


What is the ratio of the surface area of a sphere with radius 2 ft to the surface area of a sphere with radius of 5 ft?

a. 2 to 5.


What is the ratio of surface area to volume for a sphere with following measurements surface area 588 And volume 1372?

To find the ratio of surface area to volume for the sphere, you divide the surface area by the volume. Given that the surface area is 588 and the volume is 1372, the ratio is ( \frac{588}{1372} \approx 0.428 ). Thus, the ratio of surface area to volume for the sphere is approximately 0.428.

Related Questions

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


What is the ratio of a surface area to volume for a sphere with following measurements surface area m and volume?

The ratio of surface area to volume for a sphere can be expressed using the formulas for surface area ( A = 4\pi r^2 ) and volume ( V = \frac{4}{3}\pi r^3 ). Therefore, the ratio ( \frac{A}{V} ) simplifies to ( \frac{3}{r} ). This means that the surface area to volume ratio decreases as the radius of the sphere increases. For a specific sphere with known surface area ( m ) and volume, you can calculate the ratio by finding the corresponding radius.


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.


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 if surface area to volume for a sphere with the following measurements?

To find the ratio of surface area to volume for a sphere, you can use the formulas for surface area ( A = 4\pi r^2 ) and volume ( V = \frac{4}{3}\pi r^3 ). The ratio ( \frac{A}{V} ) simplifies to ( \frac{3}{r} ). This means that as the radius of the sphere increases, the surface area to volume ratio decreases. If you provide specific measurements, I can give you the exact ratio.


Surface area equals 300 m2 Volume equals 500 m3. What is the ratio of surface area to volume for a sphere with the following measurements?

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


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

The ratio is 300 m2/500 m3 = 0.6 per meter.(Fascinating factoid: The sphere's radius is 5 m.)


The radius of one sphere is the radius of one sphere is twice as great as the radius of a second sphere. a. Find the ratio of their surface areas.?

bidyogammes


Why the dot of water is always sphere?

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.


What is the ratio of the surface area of a sphere with radius 2 ft to the surface area of a sphere with radius of 5 ft?

a. 2 to 5.


What is the ratio of surface area to volume for a sphere with following measurements surface area 588 And volume 1372?

To find the ratio of surface area to volume for the sphere, you divide the surface area by the volume. Given that the surface area is 588 and the volume is 1372, the ratio is ( \frac{588}{1372} \approx 0.428 ). Thus, the ratio of surface area to volume for the sphere is approximately 0.428.


Summarize the relationship between surface area and volume as a cell grows?

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.