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The formula for volume of a sphere is (4/3)(pi)r3, where r is the radius. The initial volume of the sphere is then (4/3)(pi)(1)3 and the final volume is (4/3)(pi)(10)3. (Remember that we are given diameters, and need to divide them by two to find the radii to plug into the equations.)

The factor by which the volume changes is (Final Volume)/(Initial Volume), which is this case is

[ (4/3)(pi)(10)3 ] / [ (4/3)(pi)(1)3 ]

(4/3)pi cancels out, leaving 103 / 13 = 1000.

Q: When a spherical cell increases in diameter from 2 micrometers to 20 micrometers by what factor does its volume change?

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It depends on what a female's breath smells like, how big her mouth is when she opens it really wide, what her tongue looks like, smells like, and feels like when she gives you a Big lick (depends on how warm, wet, and slimy her tongue and saliva is).

When mass increases and volume stays constant, the density increases. When volume increases and mass stays constant the density decreases. When they both change, then the density will depend on the rate of change of mass and the rate of change of volume.

To change from a micrometre to a millimetre you need to move the decimal point 3 places to the left.

pi is the circumference divided by the diameter. it is a set universal constant and will never change = 3.1415...

No. The units don't matter, the circumference always equals pi times the diameter. (This is only true of the circumference and diameter are in the same units. If for example, the circumference was in feet and the diameter in inches, the feet must be change to inches or the inches to feet in order for this relationship to be true.)

Related questions

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.

The surface area will increase one hundred fold.

Surface area increases as the square of the diameter, whereas the volume increases by the cube.

At 100x magnification, the cell appears as 10 micrometers. When the magnification increases to 200x, the cell will appear twice as big as before. Therefore, at 200x magnification, the length of the cell will be 20 micrometers.

Cubic micrometers x (1.0 × 10-15) = liters

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.

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.

It depends on what a female's breath smells like, how big her mouth is when she opens it really wide, what her tongue looks like, smells like, and feels like when she gives you a Big lick (depends on how warm, wet, and slimy her tongue and saliva is).

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.

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.

Generally, Pi is used to represent the rate of change of the circumference of a circle as it's diameter increases. This can be shown using the equation [circumference = Pi * diameter], that is the circumference of a circle is always Pi times larger than it's diameter.

Divide the diameter by 2.