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Question

# The students of Vidyalaya 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 Vidyalaya was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition? [Assume π=227]

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Solution

## Radius (r) of the circular end of cylindrical penholder = 3 cm Height (h) of the penholder = 10.5 cm Surface area of 1 penholder = CSA of penholder + Area of base of penholder =2πrh+πr2=[2×227×3×10.5+227×(3)2]cm2=(132×1.5+1987)cm2=(198+1987)cm2=15847 cm2 Area of cardboard sheet used by 1 competitor =15847 cm2 Area of cardboard sheet used by 35 competitors =(15847×35)cm2=7920 cm2

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