A boy collects all the rain water falls on a flat rectangle surface of length 6m and breath 4m and transfer it into the cylindrical vessel of internal radius 20cm .what will be the height of the water

This question was asked in Ex 13.6, 1

A boy collects all the rain water falls on a flat rectangle surface of length 6m and breath 4m and transfer it into the cylindrical vessel of internal radius 20cm .what will be the height of the water in the cylindrical vessel, if the rain is 1cm?which value is depicted by boy?

Aakancha Mishra

March 24, 2017, 3:56 p.m.

Answers!

Davneet Singh

March 24, 2017, 6:12 p.m.

Hi Aakancha,

In the question, rain water falls on a rectangular surface with 1 cm rain and gets transferred into a cylinder of radius = 20 cm and height h.

Thus,

Volume of Cuboid = Volume of Cylinder

For Cuboid,

Length = 6 m = 600 cm,

Breadth = 4 cm = 400 cm

Height = Rainwall = 1 cm

Thus,

Volume of Cuboid = Volume of Cylinder

l x b x h = πr²h

600 x 400 x 1 = π(20)²h

24000 = 400πh

400πh = 240000

πh = 240000/400

πh = 600

h = 600/π

h = 600/3.14

h = 191.08 cm

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