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Here is a stumper. I need alot of help here!!!?
When a spherical cell increases in diameter from 2 micro meters to 20 micrometers, by what factor does its surface area change? By what factor does its volume changes? (The surface area of a sphere =4pi radius2, and the volume of a sphere =4/3pi readius3. Diameter = 2x radius. is this english??

2006-10-24 10:31:01 · 3 answers · asked by rj_harris1 2 in Education & Reference Higher Education (University +)

3 answers

Well the formulae say that for the surface, the area changes as the square of the change in the radius, and for the volume, as the cube of the change in the radius. So if the radius changes by a factor of 10, then the surface changes by a factor of 100 and the volume by a factor of 1,000.

2006-10-24 10:34:42 · answer #1 · answered by All hat 7 · 1 0

the radius has gone up a factor of ten,

in the area you use radium squared, so it will increase a factor of ten squared = 100

in the volume it uses radius cubed, so the volume increases by factor of ten cubed 10*10*10 = 1000

2006-10-24 10:35:02 · answer #2 · answered by rchlbsxy2 5 · 1 0

Figure it out. Put the numbers in and crunch them!!

2006-10-24 10:39:39 · answer #3 · answered by thewordofgodisjesus 5 · 0 1

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