Final answer:
The capacity of the conical cup is 308 cm³.
Step-by-step explanation:
To find the capacity of the conical cup, we need to find the volume of the cone. The volume of a cone can be calculated using the formula V = 1/3 * pi * r^2 * h, where r is the radius of the base and h is the height of the cone.
In this case, the radius of the base of the cone is half the radius of the semicircular sheet, which is 14/2 = 7 cm. The height of the cone is also 7 cm, since the cone is formed by bending the semicircular sheet.
Plugging in the values into the formula, we get:
V = 1/3 * 3.14 * 7^2 * 7 = 308 cm³.