Final answer:
To find the minimum amount of water needed to fill a glass with a diameter of 3 inches and a height of 7 inches, calculate the volume of the glass using the formula for the volume of a cylinder.
Step-by-step explanation:
To find the minimum amount of water needed to fill a glass with a diameter of 3 inches and a height of 7 inches, you can calculate the volume of the glass using the formula for the volume of a cylinder:
V = π * r^2 * h
In this case, the radius (r) is half of the diameter, so r = 1.5 inches. Plugging in the values, the volume becomes:
V = 3.14 * (1.5)^2 * 7
V = 3.14 * 2.25 * 7
V = 3.14 * 15.75
V = 49.245 in^3
Therefore, the minimum amount of water needed to fill the glass is approximately 49.245 cubic inches.