Question

Shaquana decides to estimate the volume of a coffee cup by modeling it as a right cylinder. She measures its height as 7.6 cm and its radius as 3 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary. Answer

Answer 1

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.