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TaigaA sphere has the lowest surface area to volume ratio compared to other shapes because it has the smallest surface area for a given volume. This is due to its symmetrical shape, which minimizes the surface area while maximizing the volume. The sphere's surface area is spread out evenly in all directions, making it more compact and efficient.
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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.
Does a basketball have a lot of surface to volume ratio?
No, a basketball does not have a high surface-to-volume ratio because the volume of a sphere increases more rapidly than its surface area as its size increases.
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?
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.
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.
What is meant by surface area to volume ratio?
Surface area to volume ratio refers to the ratio of the total surface area of an object to its total volume. This ratio is important in biology and chemistry because it influences the efficiency of processes like diffusion, absorption, and heat exchange. Objects with a high surface area to volume ratio have more surface area relative to their volume, which allows for more efficient exchange of materials.
