RRB Paramedical Staff Nurse Model Paper 6

Question : 58 of 100

Marks: +1, -0

The area of square is

256cm^2

and the perimeter of a rectangle, which length is two times of side of square is 112 cm . find the volume of conical vessel which height is equal to breadth of rectangle and radius is 12.5% less than length of rectangle?

$19712 cm^3$
$19724 cm^3$
$19004 cm^3$
$18894 cm^3$

Validate

Solution:

Side of square

=a^{2}=256{cm}^{2}

a=16

cm
Length of rectangle

=16×2=32cm

ATQ

2(32+b)=112

32+b=56

b=24

cm
Radius of conical vessel

=32 × \;{87.5}/{100}=28 {cm}

Volume of conical vessel

=\;{22}/{7} × 28 × 28 × \;{24}/{3}

=19712cm^3

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