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QUESTION
What is the surface area to volume ratio of a sphere?
Surface area to volume ratio of a sphere equals to ##3/r##, where ##r## is the sphere's radius.
Surface area of a sphere with radius ##r## equals to ##4pir^2##. The volume of this sphere is ##4/3pir^3##. Ratio of the surface area to volume, therefore, equals to
##(4pir^2)/(4/3pir^3)=4(3/4)(pi/pi)(r^2/r^3)=3/r##
