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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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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 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.


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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.


Ask us anythingConsider the following geometric solids. A sphere with a ratio of surface area to volume equal to 0.3 m-1. A right circular cylinder with a ratio of surface area to volume equal to 2.1?

The ratio of surface area to volume for a sphere is given by the formula ( \frac{3}{r} ), where ( r ) is the radius. For the sphere with a ratio of 0.3 m(^{-1}), we can deduce that its radius is 10 m. For the right circular cylinder, the ratio of surface area to volume is given by ( \frac{2}{h} + \frac{2r}{h} ), where ( r ) is the radius and ( h ) is the height; a ratio of 2.1 indicates specific dimensions that would need to be calculated based on chosen values for ( r ) and ( h ).


What is the ratio of the surface area of the sphere to its volume?

The surface area of a sphere with radius 'R' is 4(pi)R2 The volume of the same sphere is (4/3)(pi)R3 . Their ratio is (4 pi R2)/(4/3 pi R3) = (12 pi R2)/(4 pi R3) = 3/R

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


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.


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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


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?

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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.


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0.6 apex(: and yall only got this cuz of mee(: KB


Ask us anythingConsider the following geometric solids. A sphere with a ratio of surface area to volume equal to 0.3 m-1. A right circular cylinder with a ratio of surface area to volume equal to 2.1?

The ratio of surface area to volume for a sphere is given by the formula ( \frac{3}{r} ), where ( r ) is the radius. For the sphere with a ratio of 0.3 m(^{-1}), we can deduce that its radius is 10 m. For the right circular cylinder, the ratio of surface area to volume is given by ( \frac{2}{h} + \frac{2r}{h} ), where ( r ) is the radius and ( h ) is the height; a ratio of 2.1 indicates specific dimensions that would need to be calculated based on chosen values for ( r ) and ( h ).


What is the ratio of the surface area of the sphere to its volume?

The surface area of a sphere with radius 'R' is 4(pi)R2 The volume of the same sphere is (4/3)(pi)R3 . Their ratio is (4 pi R2)/(4/3 pi R3) = (12 pi R2)/(4 pi R3) = 3/R