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 , fnd the total number of kernals on a corn

Answer 1

For corn ( conical in shape )
radius (c ) = 6.6 cm
length (h) = 11.2 cm
` l^(2) = r^(2) +h^(2) = (11.2)^(2) + (6.6)^(2) = 125.44 + 43 .56= 169`
` :. l^(2) = 169`
` :. L = 13 cm`
curved surface area of cone shaped kernel `= pi r l`
` = 3.14 xx 6.6 xx 13 `
` = 269 . 412 " cm"^(2)`
Number of kernels = curved surface area ` xx ` 2
` = 269 . 412 xx2`
` ~~ 539`
`:. ` Average number of kernels on the corn area 539 .