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
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.
a. 2 to 5.
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.
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 ).
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
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.
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.
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
The ratio is 300 m2/500 m3 = 0.6 per meter.(Fascinating factoid: The sphere's radius is 5 m.)
bidyogammes
a. 2 to 5.
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.
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.
0.6 apex(: and yall only got this cuz of mee(: KB
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 ).
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