No. A sphere has the smallest surface to volume ratio possible and a basketball is nearly spherical in shape (it has surface dimpling and seams).
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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.
The rate at which the cell increases in size depends on the DNA. The ratio of the surface area (calculated: length x width x # of sides) is divided by the cell volume (calculated: length x width x height). THE VOLUME OF THE CELL INCREASES MORE RAPIDLY THAN THE SURFACE AREA, CAUSING THE RATIO OF SURFACE AREA OVER VOLUME TO DECREASE. This decrease causes cell malfunction. If the cell volume increases too much, then the ratio will decrease causing problems for the cell's regular functions.
Since villi protrude from the lining of whatever they are in (small intestine, for example), they have a large surface area to volume ratio. This ratio makes it so that although they are not very large, they can absorb a lot due to all the surface area they have. Think of your finger, it protrudes from your hand and has a lot more skin surrounding it than it would if all your fingers were attached.
A big cell with a low surface area to volume ratio may have trouble efficiently exchanging nutrients and wastes with its environment. This could lead to difficulties in regulating internal conditions and could hinder the cell's overall metabolic processes. Additionally, a low surface area to volume ratio may limit the cell's ability to transport molecules across its membrane effectively.
Neurons have greatly increased surface area due to their dendrites and axons. Intestinal cells have greatly increased surface area due to microvilli on the surface of the cells that help in absorption of nutrients.
Nanoparticles have a high surface area-to-volume ratio, making them more reactive than larger particles. This increased reactivity can lead to rapid oxidation reactions with oxygen in the air, resulting in a higher likelihood of catching fire when exposed to heat or other ignition sources. Additionally, their small size allows them to penetrate deeply into materials, increasing the chances of coming into contact with ignitable substances.