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.).

Verified Answer :

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.

Answer:

We need approximately 20 containers.

Step-by-step 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

\(\frac{2000}{100.48}=19.94\)

Therefore, We need approximately 20 containers.