The frame of a lampshade is cylindrical in shape. It has base diameter 28 cm and height 17 cm. It is to be covered with a decorative cloth. A margin of 2 cm is to be given for folding it over top and bottom of the frame. If 1/12 of cloth is wasted in cutting and pasting, find how much cloth is required to be purchased for covering the frame.
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⏩ Base diameter= 28 cm.
Base radius= 28/2 = 14 cm
Height of cloth required = 17 + 2 + 2 = 21 cm.
Area of cloth required = C.S.A of cylinder of radius 14 cm and height 21cm.
= 2πrh
= 2 × 22/7 × 14 × 21
= 1848 cm²
Now,
Let A sq.cm of cloth be purchased.
So, wastage of cloth for cutting and pasting will be,
A/12 cm²
→ Area of cloth actually used =
A - A/12
= 11/12 A cm²
Therefore,
**Area of cloth actually used = Area of cloth required
or,
11/12 A = 1848
=> A = 1848 × 12/11
=> A = 2016 cm² [The required solution..]
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