SSC CGL 17 Aug 2021 Shift 1 Paper

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Question : 68 of 100

Marks: +1, -0

The curved surface area of a cylinder is

462 {cm}^{2}

and its base area is

346.5 {cm}^{2}

. What is the volume

(

in

{cm}^{3}

) of the cylinder?
(use

π=\;{22}/{7}

)

2400
$2425.5$
4800
4850

Solution:

Given, curved surface area of cylinder

=462 {cm}^{2}

Area of base

=π r^{2}=346.5 {cm}^{2}

⇒ \;\; r^{2}=\;{110.25}/{{22}/{7}}

⇒ \;\; r^{2}=110.25 \;\text " or "\; r=10.5 {cm}

Curved surface area

=2 π r h

2 × \;{22}/{7} × 10.5 × h=462

h=7 {cm}

Volume of cylinder

=π r^{2} h

\;\; =\;{22}/{7} × 110.25 × 7

\;\; =2425.5 {cm}^{3}

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