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Two spheres have a scale factor of 13 the smaller sphere has a surface area of 16 ft squared find the surface area of the larger sphere?
The surface area of a sphere is proportional to the square of its radius. If the scale factor between the two spheres is 13, the ratio of their surface areas will be (13^2 = 169). Therefore, the surface area of the larger sphere is (16 , \text{ft}^2 \times 169 = 2704 , \text{ft}^2).
What happens to the surface area of rectangular prism when measurements are doubled?
When the measurements of a rectangular prism are doubled, the surface area increases by a factor of four. This is because surface area is calculated using the formula (2(lw + lh + wh)), where (l), (w), and (h) are the length, width, and height. Doubling each dimension (length, width, and height) results in each area term being multiplied by four, leading to a total surface area that is four times larger than the original.
Is the surface-area-to-volume ratio of a small cell less than that of a larger cell?
As a cell becomes larger the surface area to volume ratio gets smaller. The volume increases by the square of the surface area. That is the main reason that one celled organisms are small.
How mass affect surface area?
Mass does not directly affect surface area. Surface area is a measure of the total area of an object's external surfaces, while mass is a measure of the amount of matter in an object. However, as the mass of an object increases, its volume typically increases as well, which can indirectly affect its surface area if the shape remains constant. Objects with larger masses may have larger surface areas if their volume increases proportionally.
What measurements is larger 4.831 or 4.820?
4.831
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.
As a cell becomes larger what happens to its surface area and volume?
The Volume increases faster than the Surface Area
As the length of a cell increases its volume increases faster than its?
surface area. This is due to the volume increasing cubically as the length increases, while the surface area only increases squared. This can lead to issues with nutrient and waste exchange in larger cells.
Two spheres have a scale factor of 13 the smaller sphere has a surface area of 16 ft squared find the surface area of the larger sphere?
The surface area of a sphere is proportional to the square of its radius. If the scale factor between the two spheres is 13, the ratio of their surface areas will be (13^2 = 169). Therefore, the surface area of the larger sphere is (16 , \text{ft}^2 \times 169 = 2704 , \text{ft}^2).
How does a cell's ratio of surface area to volume change as the cell grows larger?
As a cell grows larger, its volume increases faster than its surface area, leading to a decrease in the surface area-to-volume ratio. This can limit the cell's ability to efficiently exchange materials with its environment, affecting its overall functioning.
How do you alter the reaction rate of a chemical change?
Heat - increases it Increased stirring - increases it larger surface area - increases it catalyst - usually increases it and the reverse of the above slows the reaction down
What happens to the surface area of rectangular prism when measurements are doubled?
When the measurements of a rectangular prism are doubled, the surface area increases by a factor of four. This is because surface area is calculated using the formula (2(lw + lh + wh)), where (l), (w), and (h) are the length, width, and height. Doubling each dimension (length, width, and height) results in each area term being multiplied by four, leading to a total surface area that is four times larger than the original.
Is as cell surface area increases cell volume increases faster true?
Yes, as cell surface area increases, the cell volume increases at a faster rate. This is because the surface area to volume ratio decreases as the cell grows larger, which can affect the efficiency of nutrient uptake and waste removal within the cell.
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.
Which typically increase faster as a cell grows surface area or volume?
As a cell grows, its volume increases faster than its surface area. This is because volume increases cubically with size, while surface area only increases quadratically. This can lead to challenges in nutrient exchange and waste removal for larger cells.
Three factors that effect the rate of evaporation?
Three factors that affect the rate of evaporation are temperature (higher temperature increases evaporation rate), humidity (lower humidity increases evaporation rate), and surface area (larger surface area increases evaporation rate).
The volume increases much more rapidly than the surface?
This is because volume is cubic, while surface area is squared. As a result, when an object increases in size, its volume increases at a faster rate than its surface area. This phenomenon is why small organisms, with a large surface area relative to their volume, can exchange gases and nutrients more efficiently than larger organisms.
