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Question

If we have a cardboard sheet of area 32π m2 and we are supposed to create a cylindrical pen holder of radius 2 m and height 3 m, then how many pen holders can be created using the provided cardboard sheet?

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is B 2
Given that, the radius of the pen holder is 2 m.
The height of the pen holder is 3 m.
Area of the given cardboard sheet is 32π m2.

We know that, the curved surface area of a cylinder
=2πrh
Area of a circle =πr2

Now, area of the cardboard sheet required to make 1 pen holder = CSA of cylinder + Area of base (circular in shape)

=2πrh+πr2

=12π+4π

=16π m2

Thus, total number of pen holders that can be created

=Area of cardboard sheetCardboard sheet required to make 1 pen holder

=32π16π

=2


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