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# When a spherical cell increases in diameter from 2 um to 20 um by what factor does it's surface area change?

Updated: 9/26/2023

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6y ago

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Q: When a spherical cell increases in diameter from 2 um to 20 um by what factor does it's surface area change?
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### When a spherical cell increases in diameter from 2um to 20 um by what factor does its surface area change?

The surface area will increase one hundred fold.

### 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.

### Consider a balloon that is being inflated As the balloon increases in size the area of its surface increases Each time the balloon's diameter doubles what do you expect for the change in the area?

The change in the area would increase by a factor of 4. When the diameter doubles, the radius also doubles. Since the formula for the surface area of a sphere is 4πr^2, when the radius doubles, the area increases by a factor of 4.

### When a spherical cell increases in diameter from 2 micrometers to 20 micrometers by what factor does its surface area change?

The surface area of a spherical cell is calculated using the formula 4πr^2, where r is the radius of the cell. If the diameter increases from 2 micrometers to 20 micrometers, the radius changes from 1 micrometer to 10 micrometers. The surface area changes by a factor of 100.

### Whenspherical balloon expands when it is taken from the cold outdoors to the inside of a warm house If its surface area increases 11.0 percent by what percentage does the radius of the balloon change?

If the surface area of a spherical balloon increases by 11%, the radius will increase by approximately 3.3%. This relationship is based on the formula that relates surface area to radius in a sphere (Surface Area = 4πr^2).

### How does temperature change with depth below earths surface?

temperature increases with depth

### 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

### How does the surface area change when a large cell gets smaller but has the same total volume?

The surface must get more spherical. When it reaches a perfect sphere the surface area cannot be reduced without also reducing the volume.

### Is there change in internal diameter of hollow cylinder on heating it?

Yes. If, as for most common substances, the outside diameter of the cylinder increases on heating, the inside diameter will increase by the same percentage. This fact is used to shrink-fit pulleys to shafts.

### What happens to the surface area of a cylinder if the height is doubled and the diameter of the base is not change?

The surface area of the 'wall' doubles, but the base areas remain the same.

### What conditions might cause blood vessels to change diameter?

Blood vessels can feel the shear stress caused by blood flow. When shear stress increases the blood vessel responds and the diameter becomes larger. Thus in short, changes in blood flow might cause blood vessels to change diameter.

### What temperature change is required to increase its volume by a spherical steel ball bearing had a diameter of 2.540 cm at 25 oC. What is its diameter when its temperature is raised to 100 oC?

The volume change of a sphere can be calculated using the formula V = 4/3 * π * r^3, where r is the radius. The temperature change required to increase the volume can be calculated using the coefficient of thermal expansion of steel. The diameter of the steel ball bearing at 100°C can be calculated using the volume change and the new temperature, considering the change in radius.