Question

A corn cob, shaped like a right circular cone, has the radius of its broadest end as 2.8cm

and Length (height) as 15cm. If each 1cm2

of the surface of the cob carries an average of 5

grains, find the number of grains on the entire cob (Take π = 22/7
)

​

Answer 1

There are 671 grains on the entire cob

Step-by-step explanation:

radius = 2.8 cm

height (h) = 15 cm

let l be the slant height then

$l^2 = r^2 + h^2$

l² = (2.8)² + (15)²

l² = 7.84 + 225

l² = 232.84

l = $\sqrt{232.84}$

l= 15.25 cm

curved surface area of the cone = $\pi rl$

= $\frac{22}{7} \times 2.8 \times15.25$

= 134.2 cm²

total number of grains = curved surface area of corn cob ×number of grains of corn on 1 cm²

= 134.2 ×5

= 671

hence ,

there are 671 grains on the entire cob

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