CTET 2 Math and Science 3 Jan 2022 Paper

Question : 43 of 150

Marks: +1, -0

The radius of the base of a metallic cylindrical box is

17.5 {\cm}

. Its height is one meter. What is the capacity (in litres) of the box? (Take

π=\;{22}/{7}

)

Solution:

1 {\m}=100 {\cm}

17.5 {\cm}=0.175 {\m}

The volume of the cylinder

=π r^2 {\h}

\Rightarrow

The volume of the cylinder

=π(0.175)^2(1)

\Rightarrow

The volume of the cylinder

=\;{22}/{7}(0.175)^2(1)

\Rightarrow

The volume of the cylinder

=0.09625 {\m}^3

1 {\m}^3=1000 {\L}

⇒ 0.09625 {\m}^3=0.09625 × 1000=96.25 {\L}

∴

The capacity of the box is

96.25 {\L}

.
The correct option is 3 i.e.

96.25 {\L}

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