SSC CGL Tier II 25 Oct 2015 Paper 1

Question : 20 of 100

Marks: +1, -0

The portion of a ditch 48m long, 16.5 m wide and 4 m deep that can be filled with stones and earth available during excavation of a tunnel, cylindrical in shape, of diameter 4 m and length 56 m is Take

( \Take \π= {22}/{7} )

$1 /4$ Part
$1 /2$ Part
$2/ 9$ Part
$1 /9$ Part

Validate

Solution:

(3) Volume of earth and stones taken out from the tunnel

=\π r^{2} h

= ( {22}/{7} × 2 × 2 × 56 ) {\cu} .

metre

=704 {\cu} .

metre
Volume of ditch

= (48 × 16.5 × 4)

cu. metre= 3168 cu. metre
∴ Part of ditch filled

= {704}/{3168}= {2}/{9}

parts

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