## Question

###### The volume of a cylinder is #81pi# cubic units. If the radius is 3 units, what is the height?

The volume of a cylinder is #81pi# cubic units. If the radius is 3 units, what is the height?

## Answers

Height of cylinder is

#9# units.## Explanation:

Volume of a cylinder of radius

#r# and height#h# is#pir^2h# As radius is

#3# and area is#81pi# cubic units,

#pi3^2xxh=81pi# or

#9pixxh=81pi# Hence

#h=(81pi)/(9pi)=9#

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