Q:

Susan invites 3 friends over for ice tea and relaxation by the pool. Her pool is 35 feet long and 12 feet wide. Her cylindrical glasses are 8 inches tall and 2 inches in diameter Susan made enough tea for everyone to have a full glass. Lily only drinks 34 of her tea before leaving. Everyone stayed for 3 hours.What was the volume of tea Lily drank?

Accepted Solution

A:
Answer:18.85 inches³Step-by-step explanation:Given:Height of the cylindrical glass, h = 8 inchesDiameter of the cylindrical glass = 2 inchesorRadius of the cylindrical glass, r = 1 inchesNow, the volume of the cylindrical glass = πr²horthe volume of the cylindrical glass = π × 1² × 8 = 8π inches³therefore, the volume of tea in the cylindrical glass = 8π inches³Now, Lily drinks only 3/4 of her teatherefore,the volume of tea Lily drunk = [tex]\frac{\textup{3}}{\textup{4}}\times8\pi[/tex] orthe volume of tea Lily drunk = 18.85 inches³