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

Respuesta :

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