Complete Question:
A cylindrical water tank carries a volume of 150 L when it is full. The water tank has a base surface with a diameter of 140 cm. What is the height of the water tank?
Answer:
Height, h = 9.74 cm
Explanation:
Given the following data;
Volume = 150 litres
Diameter = 140 cm
To find the height of the cylinder;
Radius = diameter/2
Radius = 140/2
Radius, r = 70 cm
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
- r represents the radius of the cylinder.
- h represents the height of the cylinder.
Making "h" the subject of formula, we have;
h = V/πr²
Conversion:
1 litre = 1000 cm³
150 litre = 150,000 cm³
Substituting into the formula, we have;
h = 150,000/3.142*70²
h = 150,000/3.142*4900
h = 150,000/15395.8
Height, h = 9.74 cm
