What is the height of the cylinder that has a volume of #271.4# #i n^3# and a radius of #6# #i n#?

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Answer 1 · 2018-04-22T22:05:51

#color(blue)(14.4)# inches

Volume of a cylinder is given by:

#V=pir^2h#

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

We know the volume and radius, so we plug in these values.

#pi(6)h=271.4#

Divide by #6pi#:

#h=271.4/(6pi)~~14.4# inches.