Apaper drinking cup has a diameter of 3 inches and height of 2 inches. what is the volume of water that the drinking cup will hold if filled to the brim? use 3.14 for pi

21.20 in³

Step-by-step explanation:

As a review:  the formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.  Since diameter = 2(radius), d = 2r.

Here, d = 2r = 3 in, so r = (3/2) in, and thus r² = (3/2)² in², or r² = (9/4) in².

Subbing these values (r² = [9/4] in² and h = 3 in) into the equation for volume (above), we get:

V  =  3.14(9/4)(in²)(3 in) = 21.20 in³