A sphere made out of a material that has a density of #"2.7 g cm"^(-3)# has a mass of #"82 g"#. What is the radius of the sphere?

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Answer 1 · 2015-01-10T19:43:15

The radius= 1.08cm = 0.43in

#density=(mass)/(volume)#

#Volume = (mass)/(density)#

#Volume=(82)/(2.7)=30.37cm^3#

The volume of a sphere is given by:

#V =4/3pir^3#

So # r^3=(3V)/(4pi) =(3xx30.37)/(4xx3.142)=1.274#

#r = 1.084cm#