If the volume of a cylinder is 384∏ and the height is 6, what is the length of the radius?

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Answer 1 · 2018-04-27T15:24:28

#radius =r=8# units

We know that,

Volume of Cylinder is

#color(red)(V=pir^2h),#

#where, color(blue)(h=height and r=radius# of Cylinder

Given that, #V=384pi# cubic units

#=>pir^2h=384pi,andh=6#

#=>pir^2(6)=384pi#

#=>r^2=(384pi)/(6pi)#

#=>r^2=64=(8)^2#

#=>r=8#

Hence, #radius =r=8# units

Answer 2 · 2018-04-27T15:25:06

#color(blue)(8)#

The volume of a cylinder is given by:

#V=pir^2h#

Where #h# is the height and #r# is the radius.

We know the volume is #384pi#

#pir^2(6)=384pi#

Dividing by #6pi#:

#r^2=64#

#r=sqrt(64)=8#