Answer:
282.7 (rounded to the nearest tenth)
Explanation:
Using the given dimensions of the coffee mug, we can calculate the volume of coffee it can hold using the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.
The radius of the mug is half of its diameter, which is 6 cm, so r = 3 cm. The height of the mug is 10 cm.
Substituting these values into the formula, we get:
V = π(3 cm)²(10 cm) V = π(9 cm²)(10 cm) V = 90π cm³
Rounding this to the nearest tenth gives:
V ≈ 282.7 cm³
Therefore, the coffee mug can hold approximately 282.7 cm³ of coffee when filled to the top.
Answer: 282.7 (rounded to the nearest tenth)