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A cyclindrical water tank carries a volume of 150 when it is full.the watertank has abase surface wit diameter of1l 140,what is the height of water tank?​

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Lanuelidn

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

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