Question

A corn shaped somewhat like a cone, has the redious of it's broadcast end. find on the entire cob. example 6 of ​

Answer 1

Step-by-step explanation:

GIVEN :-

radius = 2.1 cm

length ( height ) = 20 cm

1 cm^2 of the surface of the cob carries = 4 grains

TO FIND :-

grains would find in the entire cob.

SOLUTION :-

Here, we have to take out thr hypotenuse of L .

So here,

L^2 = r^2 + h^2

_______

L = / r^2 + h^2

____________

= / ( 2.1 )^2 + 20 ^2

______

= / 404. 41 cm

= 20.11 cm

So, the curved surface area of the corn cob =

$\pi \: r \: l \:$

Now, we can find out the curved surface area by applying the formula pie r l

So here,

22/7 × 2.1 × 20.11 cm^2

= 22 × 0.3 × 20.11

= 132.76 cm^2 = 132.73 cm^2 ( approximately )

Number of grains of corn on 1 cm^2 of the surface of the corn cob = 4

So now, we have to find out the entire curved surface of the cob .

So here,

132.73 × 4 = 530.92 = 531 ( approximately )

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

If you can't understand then see the attached image above

hope this will help you

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