A sphere has a volume of #288pi#. What is the radius?

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Answer 1 · 2015-12-17T23:08:45

#r=6#

The volume of a sphere can be found through the equation

#V=4/3pir^3#

We know that #V=288pi#, so

#288pi=4/3pir^3#

Isolate #r#.

#(288pi)/pi=(4/3pir^3)/pi#

#288=4/3r^3#

#3/4xx288=3/4xx4/3r^3#

#216=r^3#

#root(3)216=r#

#r=6#

Answer 2 · 2016-01-31T06:41:31

#r=6#

Volume of Sphere#=4/3pir^3#

So,#288pi=4/3pir^3#

#rarr(288pi)/pi=4/3r^3#

#rarr288=4/3r^3#

#rarr288-:4/3=r^3#

#rarr288*3/4=r^3#

#rarr216=r^3#

#rarrr=root(3)216=6#