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Question

A corn cob shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length as 20 cm. If each 1 sq cm of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob? [Approximately]


A

531 grains

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B

100 grains

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C

230 grains

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D

700 grains

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Solution

The correct option is B 531 grains

r=2.1,h=20

Total number of grains on the corn cob = 4 x Curved surface area of the corn cob

l=r2+h2

=2.12+202

=20.11

Curved surface area
=πrl

=227×2.1×20.11

=132.73cm2

Total number of grains on the corn cob
=132.73×4=530.92

Therefore, there would be approximately 531 grains of corn on the cob.


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