Final answer:
The volume of the cone-shaped glass is approximately 26.6 cubic inches.
Step-by-step explanation:
To find the volume of the cone-shaped glass, we can use the formula for the volume of a cone: V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height. In this case, the diameter given is 3 inches, so the radius is half of that, which is 1.5 inches. The height is given as 7.5 inches. Plugging in these values into the formula, we get:
V = 1/3 * 3.14 * (1.5 inches)^2 * 7.5 inches
V ≈ 1.57 * 2.25 square inches * 7.5 inches
V ≈ 26.59 cubic inches
Since the question asks for the volume rounded to the nearest tenth, the answer is approximately 26.6 cubic inches.