Question

What is the exact volume of the cylinder?

A.


B.


C.


D.

Answer 1

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 .
_____________________________________