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Question

The students of Byjus were asked to participate in a competition for making and decorating penholders in the shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height 10.5 cm. The Byjus was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition?

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Solution

Radius of the circular end of cylindrical penholder, r = 3cm
Height of penholder, h = 10.5cm
Surface area of a penholder = CSA of pen holder + Area of base of penholder
=2πrh+πr2=(2×227×3×10.5)+(227×32)=15847
Therefore, Area of cardboard sheet used by one competitor is 15847cm2
So, Area of cardboard sheet used by 35 competitors = 35×15847=7920 cm2
Therefore, 7920 cm2 cardboard sheet will be needed for the competition.


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