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Question

# The students of a Vidyalaya were asked to participate in a competition for making and decorating pen holders in the shape of a cylinder with a base, using cardboard. Each pen holder was to be of radius 3 cm and height 10.5 cm. The Vidyalaya was to supply to 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 fo cylindrical pen holder (r)=3 cm Height (h)=10.5 cm Since, the pen holder is open at the top, but covered at the bottom.So, surface area of one penholder =Curved surface area of cylinder + Area of bottom circle ∴ Surface area of the pen holder =2πrh+πr2=πr(2h+r) =227×3(2×10.5+3) cm2 =667(21+3)=667×24 cm2 =15847 cm2 ∴ Number of pen holders made =35 ∴ Total of cardboard required =15847×35=1584×5=7920 cm2

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