A cylindrical tank has a radius of 154 cm. It is filled with water to a height of 3 m. If water to a height of 4.5 m is poured into it, what will be the increase in the volume of water in kl?

Solution:

If water is filled to the height of 3 metres then the volume of water in the cylindrical tank is :

Volume(when height = 3m) =πr²h = (22/7) × (1.54) × (1.54) × 3m³ = 22.3608m³

Volume(when height = 4.5 m) = πr²h = (22/7) × (1.54) × (1.54) × 4.5m³ = 33.5412m³

Increase in volume in m³ = 33.5412 - 22.3608 = 11.1804m³

Increase in volume in kl = 11.1804/0.001 = 11180.4 litres or 11.1804 kl

✦ Try This: A cylindrical tank has a radius of 175 cm. It is filled with water to a height of 4 m. If water to a height of 5 m is poured into it, what will be the increase in the volume of water in kl?

Volume(when height = 3m) =πr²h = (22/7) × (1.75) × (1.75) × 4m³ = 38.5 m³

Volume(when height = 4.5 m) = πr²h = (22/7) × (1.75) × (1.75) × 5m³ = 48.125m³

Increase in volume in m³ = 48.125 - 38.5 = 9.625m³

Increase in volume in kl = 9.625/0.001 = 9625 litres or 9.625 kl

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

NCERT Exemplar Class 8 Maths Chapter 11 Problem 115

A cylindrical tank has a radius of 154 cm. It is filled with water to a height of 3 m. If water to a height of 4.5 m is poured into it, what will be the increase in the volume of water in kl?

Summary:

A cylindrical tank has a radius of 154 cm. It is filled with water to a height of 3 m. If water to a height of 4.5 m is poured into it, what will be the increase of 11.1804 kl in the volume of water

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