The volume V of a right circular cylinder is given by the formula
V=Ï€r2h, where r is the base radius of the cylinder and h is the height of the cylinder. Since each glass has an internal diameter of 3 inches, each glass has a base radius of
inches. Since the height of the milkin each glass is 6 inches, the volume of milk in each glass is
V=π()2(6)≈ equal to
| number of cubic inches in 1 gallon |
| number of cubic inches in 1 glass |
= which is approximately 5.45 glasses. Since the question asks for the largest number of full glasses Jim can pour, the number of glasses needs to be rounded down to 5.
Choices A, B, and D are incorrect and may be the result of conceptual errors or calculation errors. For example, choice D is incorrect because even though Jim can pour more than 5 full glasses, he will not have enough milk to pour a full 6th glass.