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A corn cob, shaped somewhat like a cone,has the radius of its broadestend as 2.1 cm and length as 20 cm. If each 1 cm2 of the surface ofthe cob carries an average of four grains, find how many grains youwould find on the entire cob. |
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Answer» Since the grains of corn are found on the curved surface of the corn cob. Total number of grains on the corn cob = Curved surface area of the corn cob x Number of grains of corn on 1cm² Now,find the curved surface area of the corn cob.r = 2.1 cmh = 20 cmLet l be the slant height of the corn cob. Then,l² = r²+ h²= (2.1)^2 + (20)^2=4.41 + 400=404.41l =20.11 C.S.A. of cone= πrl= 22/7 * 2.1 * 20.11= 132.73 cm^2 We know that, Total no. of grains on the corn cob= 132.73 * 4= 530.92 so, approximately there are 531 grains. thanks mam |
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