Final answer:
To find the volume of the coffee cup, model it as a right cylinder. Use the formula V = πr²h, plugging in the given measurements to calculate the volume as approximately 110.24 cm³.
Step-by-step explanation:
To find the volume of the coffee cup, we can model it as a right cylinder.
The formula to calculate the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
We are given the height of the cup as 8.7 cm and the circumference as 14.6 cm.
To find the radius, we can divide the circumference by 2π, which will give us the radius as 14.6 cm / (2 × 3.142) ≈ 2.327 cm.
Plugging the values of the radius and height into the formula, we get
V = 3.142 × (2.327 cm)² × 8.7 cm ≈ 110.24 cm³. Therefore, the volume of the coffee cup is approximately 110.24 cubic centimeters.