Question

a corn cob shaped somewhat like a cone has a radius of its broadest end as 2.1 cm and length (height) as 20 cm if each one centimetre square of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob​

Answer 1

Step-by-step explanation:

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 cm

h = 20 cm

Let l be the slant height of the corn cob. Then,

l² = r²+ h²

= (2.1)^2 + (20)^2

=4.41 + 400

=404.41

=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.

Answer 2

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