In fig.13.12,you see the frame of a lampshade.It is to be covered with a decorative cloth.The frame has a base diameter of 20 cm and height of 30 cm .A margin of 2.5cm is to be given for folding it over the top and bottom of the frame.Find how much cloth is required for covering the lampshade.
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Answer:
The lampshade is in the form of a cylinder,
where radius (r) = 202 cm = 10 cm
and height = 30 cm.
A margin of 2.5 cm is to be added to the top and bottom of the frame.
∴ Total height of the cylinder, (h)
= 30 cm + 2.5 cm + 2.5 cm = 35 cm
Now, curved surface area = 2πrh
= 2 x 227 x 10 x 35 cm2
= 2200 cm2
Thus, the required area of the cloth = 2200 cm2
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