Question

The rain water from 22m×20m roof drains into a cylindrical vessel of diameter 2 m and h 3.5 m . If the rain water collected from the roof fills 4/5th of the cylinder vessel then find rainfall in cm



Koi Btado Darling ​

Answer 1

Answer:

The height of the rainfall is 2.5 cm. Step-by-step explanation: Given : The rainwater from a roof 22m*20m drains into a cylindrical vessel having diameter of base 2 m and height 3.5m .

Answer 2

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Required answer-:

We have

Radius of cylindrical vessel= r = 1m

Height of cylindrical vessel h = 3.5m

Volume of cylindrical vessel=πr²h=$\frac{22}{7}$×1²×3.5m³=11m³

Let the rainfall be x cm. 

Then volume of the water = Volume of a cuboid of base 22m × 20m and height x metres=(22 × 20 × x)m³

Since the vessel is just full of water that drains out of the roof into the vessel

Volume of the water = Volume of the cylindrical vessel

22 × 20 × x = 11

⇒x=$\frac{11}{22×20}$=0.025m=2.5cm

∴ Rainfall=2.5cm

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