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Food grains are to be stored in containers of the same base length and
height. Which type of containers are required less in number to store a fixed
quantity of grains?
i) Right circular Cylinder ii) Cube iii) Right circular cone
Answers
Answer: II) cube
Step-by-step explanation:
Cubes volume is a^3
Cylinder volume is πa^3/4
Cone volume is πa^3/12
Here cube has highest volume
So is the answer
Cube type of containers are required less in number to store a fixed
quantity of grains
Step-by-step explanation:
Food grains are to be stored in containers of the same base length and
height
Number of containers required = Food Grains / Volume of container
Hence number of containers would be less if its volume is more
Let say Base Length = Height = X
Base Length = Diameter for Cylinder & Cone
Radius = X/2
Right circular Cylinder Volume = π Radius² * Height
= (3.14) * (X/2)² * X
= 0.785 X³
Cube Volume = X³
Right circular cone = (1/3) Radius² * Height
= 0.262 X³
X³ > 0.785 X³ > 0.262 X³
=> Volume of cube > Volume of cylinder > Volume of cone
=> Cube type of containers are required less in number to store a fixed
quantity of grains
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