Question

The picture below shows a container that Tim uses to freeze water.. . A cylinder is shown with base diameter of 4 centimeters and the height as 8 centimeters. . . What is the minimum number of identical containers that Tim would need to make 2000 cm3 of ice? (Use π=3.14.).

Answer 1

We need approximately 20 containers.

Explanation:

Given : A cylinder with base diameter of 4 centimeters and the height as 8 centimeters.

To find : What is the minimum number of identical containers that Tim would need to make 2000 cm cube of ice?

Solution :

We have given the diameter of cylinder d=4 cm and height h=8 cm

The radius of the cylinder is r= 2 cm

The volume of cylinder is given by :
`V=\pi r^2 h`

Volume of the cylinder with radius 2 cm and height 8 cm is

`V=(3.14) (2^2) (8)`

`V=(3.14) (4) (8)`

`V=100.48 cm^3`

We need to make 2000 cm cube of ice, so we divide this by capacity of each container.

Minimum number of identical containers needed is

`(2000)/(100.48)=19.94`

Therefore, We need approximately 20 containers.

Answer 2

r = 2 cm, h = 8 cm
Volume of a cylinder:
V = r² π h
V = 2² · 3.14 · 8 = 100.48 cm³
2000 cm³ : 100.48 cm³ = 19.9
Answer: minimum number of identical containers is 20.