Question 148488
Volume of cylinder={{{pi(r^2)h}}}
This translates into the {area of the base} times the height.


Why? Well, think of a cylinder as a [stack of congruent circles].  The [amount of circles] is the height.  Take the area of one circle, and times it by the [amount of circles] or the height of the [stack of congruent circles].  That gives you the volume of the whole [stack of congruent circles].


Anyway, so take {{{pi(r^2)h}}} and plug in your values.  The diameter is 4, so r=2.  The altitude, or height, is 4.


Plug all that stuff in and get {{{pi(2^2)4}}}.  Simplify that and get {{{pi(4)4}}}.  Then multiply 4 by 4 and get {{{pi(16)}}}.  Otherwise known as {{{16pi}}}.


So your volume would be {{{16pi}}}{{{cm^3}}}