Question

radius of circular base of an ear of corn is 6.6 cm and its length is 11.2 cm if on an average 1 sq.cm area contains 2 corn kernels find the total number of kernels on a corn.

Answer 1

Hello Mate!

Curved surface area of corn = πrl

Now, l = √( r² + h² )

= √( 6.6² + 11.2² )

= √( 43.56 + 125.44 )

= √169 = 13 cm

So, curved surface area = 22/7 × 6.6 × 13 cm²

= 269.7 cm²

Now, when 1 cm² covers = 2 kernels

Then 269.7 cm² will cover = 269.7 × 2 = 539.4 kernels

Hence, 539 kernels ( approx. ) will be in the corn.

Have great future ahead!

Answer 2

हल -

दिया है -

शंकु की ऊंचाई h = 11.2

त्रिज्या r = 6.6

अतः तिर्यक् ऊँचाई l = √(r² + h²)

$= \sqrt{6.6 {}^{2} + 11.2 {}^{2} } \\ \\ \sqrt{169} = 13$


शंकु का वक्र पृष्ठ = πrl

$\frac{22}{7} \times 6.6 \times 13 \\ \\ = 269.7 {cm}^{2}$


जब 1cm² = 2 kernels को ढक लेता है तो,


269.7cm² ढकेगा 539.4 kernels को