Question 429550
Solution:We know that the volume of cylinder is:V={{{pi}}}r^2*(h), where

r is the base radius, and h is the height of cylinder. Substitute :

 36{{{pi}}}={{{pi}}}r^2(4)

{{{36=r^2*(4)}}}

{{{r^2=9}}}

{{{r=3}}}. The lateral area is:A=2{{{pi}}}rh

A=2(3)4{{{pi}}}=24{{{pi}}} square units.

Done.