What is the lateral area of a cylinder if the height h is 9 centimeters and the volume V is 36pi cubic centimeters?

Lateral area is ##72pi## square centimeters.
As volume is ##pir^2h## where ##r## is radius and ##h## is height
##36pi=pir^2xx9## or ##36pi=9pir^2##
Hence ##r^2=(36pi)/(9pi)=4## or ##r=2##
Now lateral area is area of the curved surface of cylinder i.e. ##2pirh##
Hence lateral area is ##2pixx4xx9=72pi## square centimeters.