A paper 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