Question

34. Rain water is running from a roof of dimensions 22 m x 10 m to a cylindrical vessel of radius of base
1 m and 'height 3.5 cm. If the vessel is filled completely
, then find how many cm of rain was there?
​

Answer 1

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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 .

To find : if the vessel is just full, the rainfall in cm?

Solution :

Diameter = 2 m

Radius = 1 m

Volume of rain water on the roof = Volume of tank

$l\times b\times h=\pi r^2h$

$22\times 20\times h=(3.14)(1)^2(3.5)$

$440\times h=10.99$

$h=\frac{10.99}{440}$

$h=0.024m$

1m=100 cm

0.024 m=2.49 cm

Approximately the height of the rainfall is 2.5 cm.

Answer 2

Answer:

The rainwater from a roof 22m*20m drains into a cylindrical vessel having diameter of base 2 m and height 3.5m .

Answer : 2.5 approx

Step-by-step explanation:

volume of roof = volume of vessel

L*B*H = πr^2h

22*10*h = 2*22/7*1*35/1000

so now it will be ~(approx) 2.5