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The frame of a lamp shade …

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The frame of a lamp shade is cylindrical in shape. It has base diameter of 28cm and height 17cm. It is to be covered with a decorative cloth. A margin of 2cm is to be given for folding it over top and bottom of the frame if1/12 of come is wasted in cutting and pasting, find how much cloth is required to be purchased for covering the frame

Posted by Naman Bansal 8 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Naveen Sharma 8 years, 9 months ago

Ans. Diameter of cloth = 28cm

Radius of cloth =28/2 cm = 14 cm

height of cloth h = 17cm + 2 × 2 cm (i.e., margin) = 21 cm

Cloth required for covering the lampshade = Its curved surface area = 2πrh

{tex}=> 2\times {22\over 7}\times14\times 21{/tex}= 1848cm²

Let total cloth was x cm²As {tex}{1\over 12}^{th} {/tex}cloth has been wasted,

{tex}{11\over 12}th {/tex} cloth was used in making

So, {tex}{11x\over 12} = 1848 {/tex}

=> x = 2016 cm²

1Thank You

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CBSE > Class 09 > Mathematics