Math, asked by SenoritaRocks, 1 year ago

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.​

Answers

Answered by Anonymous
47

\huge\bold{Bonjour!!}

\huge\mathfrak\purple{Solution:-}

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..]

Hope it helps...:-)

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Answered by rishu6845
19

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