Final answer:
The volume of the coffee cup modeled as a right cylinder with a height of 7.6 cm and radius of 3 cm is approximately 680.4 cubic centimeters.
Step-by-step explanation:
To find the volume of a coffee cup modeled as a right cylinder, we use the formula V = πr²h, where V is the volume, r is the radius, and h is the height. The measurements given are a height (h) of 7.6 cm and a radius (r) of 3 cm.
Substituting these values into the formula gives us:
V = π × (3 cm)² × 7.6 cm
= π × 9 cm² × 7.6 cm
= 216.432π cm³
= 680.4 cm³ (rounded to the nearest tenth)
Therefore, the volume of the coffee cup is approximately 680.4 cubic centimeters.