What is the exact volume of the cylinder?

a.

b.

c.

d.

The answer is:  " 128π in³ " .

Note:  The formula/equation for the volume of a cylinder is:

V = Base area * height.

The base area is a circle:  A = π r²  ;  r= radius;

So , the formula/ equation for the volume of a cylinder is:

 V = π r² * h ;   (h = "height").

Given:  r = radius = 4 in. (given) ; 
 
            r² = (4 in.)² = (4 in.)*(4 in.) = 16 in.² .

            h = height = 8 in. (given).

V = π r² * h  ; 

V = π * 16 in² * 8 in.  ;

V =  π * 128 * in² * in. ;

V = 128 π  in³ .