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The best estimate of the volume of the water dispenser can be calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.
Plugging in the values for the radius (7 inches) and height (20 inches), we get:
V = π(7^2)(20)
V = π(49)(20)
V = 3.14 * 980
V ≈ 3077.2 cubic inches
Therefore, the best estimate of the volume of this water dispenser is approximately 3077.2 cubic inches.