A corn cob (see figure),shaped somewhat like | vedclass

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(C) Since the grains of corn are found only on the curved surface of the corn cob,we need to calculate the curved surface area of the cone.Given:Radiu

Vedclass · Accepted Answer

$531$

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(C) Since the grains of corn are found only on the curved surface of the corn cob,we need to calculate the curved surface area of the cone.Given:Radius $(r)$ = $2.1\, cm$Height $(h)$ = $20\, cm$First,we find the slant height $(l)$:$l = \sqrt{r^2 + h^2} = \sqrt{(2.1)^2 + (20)^2} = \sqrt{4.41 + 400} = \sqrt{404.41} \approx 20.11\, cm$Curved Surface Area of the cone = $\pi rl$$= \frac{22}{7} 	imes 2.1 	imes 20.11 = 22 	imes 0.3 	imes 20.11 = 6.6 	imes 20.11 = 132.726\, cm^2$Given that there are $4$ grains per $1\, cm^2$:Total number of grains = $132.726 	imes 4 = 530.904$Rounding to the nearest whole number,we get $531$ grains.

$A$ corn cob (see figure),shaped somewhat like a cone,has the radius of its broadest end as $2.1\, cm$ and length (height) as $20\, cm$. If each $1\, cm^2$ of the surface of the cob carries an average of four grains,find how many grains you would find on the entire cob.

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