A large cylinder with height of 3 ft and a

diameter of 2 ft is filled with water. Angelica

uses a large cylindrical cup with a height of 1

2 ft

and a diameter of 1

4 ft to scoop water from the

container.

(a)

What is the exact volume of the large

cylinder?

(b)

What is the exact volume of the cup?

(c)

How many full cups of water can Angelica

get from the container

Question

Mathematics

Wade Terry

21 April, 20:18

A large cylinder with height of 3 ft and a

diameter of 2 ft is filled with water. Angelica

uses a large cylindrical cup with a height of 1

2 ft

and a diameter of 1

4 ft to scoop water from the

container.

(a)

What is the exact volume of the large

cylinder?

(b)

What is the exact volume of the cup?

(c)

How many full cups of water can Angelica

get from the container

+2

Answers (1)

Know the Answer?

Marco Wilson · Answer 1

Given:

large cylinder: height = 3 ft; diameter = 2 ft

cylinrical cup: height = 1/2 ft; diameter = 1/4 ft

Volume of a cylinder = π r² h

large cylinder volume = 3.14 * (1ft) ² * 3ft = 3.14 * 1ft² * 3ft = 9.42 ft³

cylindrical cup volume = 3.14 * (0.125ft) ² * 1/2 ft = 3.14 * 0.015625ft² * 0.5ft = 0.0245 ft³

9.42 ft³ : 0.0245ft³ = 384.489 cups