Answer:
0.35cm
Step-by-step explanation:
Step 1
We find the volume of the container.
The formula = Length × Width × Height
Length = 20cm
Width = 30cm
Height = 50cm
The volume of the tank = 20cm × 30cm × 50cm
= 30000 cm³
Step 2
We are told that:
The tank can fill exactly 200 of these containers
We have to find the volume that 1 cylinder will contain
Hence,
200 containers = 30000 cm³
1 container = x
Cross Multiply
200 × x = 30000cm³
x = 30000cm³/200
x = 150cm³
Step 3
We find the base radius of the cylindrical tank
Height = 4m
Convert to cm
1m = 100cm
4m = x
Cross Multiply
x = 4 × 100cm = 400cm
Volume of the cylinder = πr²h
Radius = √V/πh
Radius = √150/π × 400
Radius = 0.35 cm
Therefore, base radius = 0.35cm
