Question

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?

Answer 1

Answer:

18.85 inches³

Step-by-step explanation:

Given:

Height of the cylindrical glass, h = 8 inches

Diameter of the cylindrical glass = 2 inches

or

Radius of the cylindrical glass, r = 1 inches

Now,

the volume of the cylindrical glass = πr²h

or

the volume of the cylindrical glass = π × 1² × 8 = 8π inches³

therefore, the volume of tea in the cylindrical glass = 8π inches³

Now,

Lily drinks only 3/4 of her tea

therefore,

the volume of tea Lily drunk = $\frac{\textup{3}}{\textup{4}}\times8\pi$

or

the volume of tea Lily drunk = 18.85 inches³