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As the radius of a sphere gets larger which of the spheres measurements increases more the surface area or the volume?
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
What will happen to a spheres volume if the radius is tripled?
The volume increases 27-fold.
As a cell increases in size the a. metabolic rate increases. b. surface area to volume ratio increases. c. volume increases and the surface area increases. d. surface area increases and the volume d?
As a cell increases in size the volume increases much faster than the surface area. The possible answer is C.
As a cell becomes larger what happens to its surface area and volume?
The Volume increases faster than the Surface Area
How does the surface area to volume ratio change as the cell size increases?
It decreases. As the dimensions increase by a number, the surface area increases by the same number to the power of 2, but the volume increases by the same number to the power of 3, meaning that the volume increases faster than the surface area.
What happens to a cell ratio of surface area to volume as the cells volume increases rapidly than its surface area?
The cell's ratio of surface area to volume would decrease if its volume increases more rapidly than its surface area.
What happens to a cell's ratio of surface area to volume as the volume increases more rapidly than its surface area?
As volume increases surface area increase, but the higher the volume the less surface area in the ratio. For example. A cube 1mmx1mmx1mm has volume of 1mm3 surface area of 6mm2 which is a ration of 1:6 and a cube of 2mmx2mmx2mm has a volume of 8mm3 and surface area of 24mm2 which is a ratio of 1:3.
How does the surface area change compared to the volume as a cell gets larger?
Surface area increases as the square of the diameter, whereas the volume increases by the cube.
What Three-dimensional figures are typically measured by their and .?
Three-dimensional figures are typically measured by their volume and surface area. Volume quantifies the amount of space enclosed within the figure, while surface area measures the total area that the surface of the figure occupies. Together, these measurements provide a comprehensive understanding of the figure's size and capacity. Examples include cubes, spheres, and cylinders, each with specific formulas for calculating these properties.
Which statements about the ratio of cell surface area to cell volume is are correct?
As cell volume increases, the ratio of cell surface area to cell volume decreases. This is because the surface area increases by a square factor while the volume increases by a cube factor. A higher surface area to volume ratio is more favorable for efficient nutrient exchange and waste removal in cells.
How is the volume of a cell related to its surface area?
Although they do not increase at the same rate, as the surface area increases the volume increases slowly.
Surface areas and volumes of spheres?
The formula for the surface area of a sphere is 4πr2. The formula for the volume of a sphere is 4/3πr3.
