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 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.
Since pi is the ratio of the circumference of any circle to its diameter, it comes up any time a radius or diameter is used to calculate most other characteristics of a circle or a sphere, such as circumference, area, surface area or volume, or whenever any of those characteristics are used to calculate a radius or diameter.
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
a. 2 to 5.
1) Calculate the area 2) Calculate the volume 3) Divide the area by the volume to get the ratio
The ratio of surface area to volume for a sphere is constant and equal to 3/r, where r is the radius. Given the measurements, you can calculate the radius of the sphere using the formula for volume of a sphere (V = 4/3 * π * r^3) and then find the ratio as 3/r.
If they have the same radius then it is: 3 to 2
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.
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 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.
bidyogammes
0.6 apex(: and yall only got this cuz of mee(: KB
The ratio is 300 m2/500 m3 = 0.6 per meter.(Fascinating factoid: The sphere's radius is 5 m.)
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.
Since pi is the ratio of the circumference of any circle to its diameter, it comes up any time a radius or diameter is used to calculate most other characteristics of a circle or a sphere, such as circumference, area, surface area or volume, or whenever any of those characteristics are used to calculate a radius or diameter.
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