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[Solved] In fig., 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.

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In fig., 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 2.5 cm 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. (Assume π = 22/7)

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h = height of the frame of lampshade, looks like cylindrical shape

r = radius

Total height is h = (2.5 + 30 + 2.5) cm

= 35cm and

r = (20/2) cm = 10cm

Use curved surface area formula to find the cloth required for covering the lampshade which is 2πrh

= (2 × (22/7) × 10 × 35) cm2

= 2200 cm2

Hence, 2200 cm2 cloth is required for covering the lampshade.

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