NIFT UG 2020 Question Paper with solutions

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Question : 12 of 150

Marks: +1, -0

The portion of a ditch

48 {m}

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

π=\;{22}/{7})

$\;{1}/{9}$ part
$\;{1}/{4}$ part
$\;{2}/{9}$ part
$\;{1}/{2}$ part

Solution:

Volume of ditch

=48 × 16.5 × 4

[volume of cuboid

=l b h]

Volume of stone

=π(2)^{2} × 56

[volume of cylinder

=π r^{2} h

∴

Portion to filled

=\;{\;{22}/{7} × 4 × 56}/{48 × 165 × 4}=\;{100}/{450}=\;{2}/{9}

part

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