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.).
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.