Question

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
1.right circular cylinder
2.right circular come
3.cube
Please explain
I will mark it as brainliest

Answer 1

The correct option is 3) Cube.

Step-by-step explanation:

Consider the provided information,

We need to find the container which required less in number to store a fixed quantity of grains.

That means we need to find a container having largest volume.

Let the height and base for all container is 'a'.

Thus, the volume of cube will be: $a^3$

For a cylinder the base length is 'a' that means 'a' is the diameter of the cylinder.

Thus, the radius for the cylinder is a/2.

The volume of right circular cylinder is: $\pi r^2h$

substitute r=a and h=a in above formula.

$\pi (\frac{a}{2})^2a$

$\frac{3.14 \times a^3}{4}$

$0.785a^3$

Since $0.785a^3<a^3$

Therefore the volume of cube is greater than the volume of cylinder.

The volume of cone is 1/3 times the volume of cylinder, that means the volume of cone is less than the volume of cylinder.

Volume of cone < Volume of cylinder < Volume of cube

Hence, cubic containers required less in number to store a fixed quantity of grains.

#Learn more

Volume and surface area of cuboid, cube and cylinder and cone

https://brainly.in/question/7358883

Answer 2

Option 3) cube is the correct answer.