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To calculate the radius to volume ratio of a sphere, first determine the volume using the formula ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius. Then, the radius to volume ratio is given by ( \frac{r}{V} = \frac{r}{\frac{4}{3} \pi r^3} ). Simplifying this expression results in the ratio ( \frac{3}{4\pi r^2} ). Thus, the radius to volume ratio decreases as the radius increases.
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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.
What is the ratio of surface area to volume for a sphere with the following measurements surface area equals 588 M squared volume equals 1372 m to the Third?
The formula for the surface area of a sphere is 4πr² and the formula for the volume is (4/3)πr³, where r is the radius of the sphere. Setting 4πr² equal to 588 and (4/3)πr³ equal to 1372, you can solve for the radius by equating the two expressions and taking the cube root of the result. Once you have the radius, you can calculate the surface area using the formula and divide it by the volume to find 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.
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.
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 ).
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 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 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.
What is the ratio of surface area to volume for a sphere with the following measurements surface area equals 588 M squared volume equals 1372 m to the Third?
The formula for the surface area of a sphere is 4πr² and the formula for the volume is (4/3)πr³, where r is the radius of the sphere. Setting 4πr² equal to 588 and (4/3)πr³ equal to 1372, you can solve for the radius by equating the two expressions and taking the cube root of the result. Once you have the radius, you can calculate the surface area using the formula and divide it by the volume to find 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.
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 surface area to volume for a sphere with the surface area is 432m2 and volume is 864m3?
0.6 apex(: and yall only got this cuz of mee(: KB
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.)
What is the ratio of the volumes of a sphere and a cone with the base diameter and the altitude of the cone equal to the diameter of the sphere?
The ratio is given as the sphere volume divided by the volume of the cone. The volume of a sphere that satisfies these conditions is 4/3 x pi x r cubed, and the volume for the cone is 2/3 x pi x r cubed, where r is the radius and pi is equal to 3.14. Dividing these two volumes, you find the resulting ratio is 2.
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
