CTET 2 Math and Science 7 Jan 2022 Paper

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Question : 42 of 150

Marks: +1, -0

The curved surface area of a right circular cylinder of base radius

35 {\cm}

is

2640 {\cm}^2

. What is the volume of the cylinder? (take

π=\;{22}/{7}

)

$38500 {\cm}^3$
$42350 {\cm}^3$
$44275 {\cm}^3$
$46200 {\cm}^3$

Solution:

Radius

=35 {\cm}

, Surface area

=2640 {\cm}^2

\Rightarrow

Surface area

=2 π {\rh}

⇒ 2640=2 × 22 \/ 7 × 35 × {\h}

⇒ {\h}=12 {\cm}

volume

=π r^2 h

⇒ {\V}=22 \/ 7 × 35 × 35 × 12=46200 {\cm}^3

∴

The volume of the cylinder is

46200 {\cm}^3

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