Question

A cylindrical container has a diameter of 14 inches and a height of 6 inches. Since one gallon equals 231 cubic inches, the capacity of the tank is approximately

Answer 1

63 cups

V = πr2h → V = 3.14(42)(18) → V = 3.14(16)(18) = 904.32 in3 →

904.32 in3

14.4 in3 per cup

≈ 62.8 cups → ≈ 63 cups

Explanation:

Answer 2

Using the equation for area of a circle (pi)r^2, with r being half the diameter, you can determine the area to be 49(pi), or ~153.93 square inches. Multiply this by the height of the cylinder, 6, to get 923.62 cubic inches. Since we want gallons, however, you divide the volume by 231, to get roughly 4. As a result, the answer is B