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Let the increase in level of water in cylindrical tank be ‘h’ cm.

Given

Diameter of circular pipe = 2 cm

Radius of circular pipe, r1 = 1 cm [ diameter = 2 × radius]

Rate of flow = 0.7 m/sec

Height of Water flowed in half hour(1800 seconds) = 1800 × 0.7

= 1260 m = 126000 cm

Base radius of cylindrical tank, r2 = 40 cm

Formula

Volume of circular cylinder = πr2h

Where, r is base radius and h is the height of cylinder

Now,

Water flowed from pipe in half hour = Volume of cylindrical tank with height h

Volume of pipe with height 126000 cm = Volume of cylindrical tank with height h

πr12(126000) = πr22h

126000 = (40)2h

16h = 1260

h = 78.75 cm

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