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

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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