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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.

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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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