ANSWER -
The volume of one cup can be calculated using the formula for the volume of a cylinder, which is:
V = πr^2h
where r is the radius of the cylinder, which is half of the diameter.
The diameter of the cup is 4.6 inches, so the radius is 2.3 inches. The height of the cup is 7 inches. Using π ≈ 3.14, we can calculate the volume of one cup as:
V = 3.14 x 2.3^2 x 7
= 3.14 x 5.29 x 7
= 116.81 cubic inches
Rounding this to the nearest hundredth, we get 116.27 cubic inches.
To find the total amount of juice that Ramon can pour into 6 cups, we can multiply the volume of one cup by 6:
Total volume = 116.27 x 6
= 697.62 cubic inches
Rounding this to the nearest hundredth, we get 697.65 cubic inches.
Therefore, the answer is option c, 697.65 cubic inches.