In the field of Kanubhai, wheat is collected to form 10 conical heaps. The diameter of each heap is 140 cm
and the height of each heap is 60 cm. All the wheat is now to be stored in cylinders with radius 20 cm and
height 50 cm each. Find the number of cylinders required.
Answers
Given : Wheat is collected to form 10 conical heaps. The diameter of each heap is 140 cm and the height of each heap is 60 cm.
All the wheat is now to be stored in cylinders with radius 20 cm and
height 50 cm each.
To Find : the number of cylinders required.
Solution:
Cone
Diamter = 140 cm
Radius = 140/2 = 70 cm
Height = 60 cm
Volume = (1/3)πr²h
π = 22/7
= (1/3)(π) * (70)² * 60
= π* 70² * 20 cm³
10 heaps
Hence total volume =10 * π* 70² * 20
= π* 70² * 200 cm³
cylinders with radius 20 cm and height 50 cm each
Volume = πr²h
= π (20)² * 50
cylinder = N
Total Volume = N * π (20)² * 50 cm³
N * π (20)² * 50 = π* 70² * 200
=> N (20)² = 70² * 4
=> N (10)² * 4 = 70² * 4
=> N = 7²
=> N = 49
number of cylinders required. = 49
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