the seed of corn has dimension 1.8cm×0.8cm×0.2cm. the height of cone tube is 13.7 cm and its radius is4.2 cm. assuming that the corn seeds have negligible distance between them and all seeds are of same size find the number of corn seeds on the corn tube
Answers
Assuming that the corn seeds have negligible distance between them and all seeds are of the same size, then the number of corn seeds in the corn tube is 2637.
Step-by-step explanation:
Formula used:
- Volume of cuboid = length * breadth * height
- Volume of cylinder = πr²h
Step 1:
Dimensions of the corn seed:
Length, l = 1.8 cm
Breadth, b = 0.8 cm
Height, h = 0.2 cm
∴ The volume of the seed corn = l * b * h = 1.8 * 0.8 * 0.2 = 0.288 cm³
Step 2:
Dimensions of the corn tube:
Height, h = 13.7 cm
Radius, r = 4.2 cm
∴ The volume of the corn tube = πr²h = (22/7) * (4.2)² * 13.7 = 759.52 cm³
Thus,
The no. of corn seeds in the corn tube is given by,
= [volume of the corn tube] / [volume of each corn seed]
= [759.52] / [0.288]
= 2637.22
≈ 2637
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