Question

The volume of a cylinder is 300 metre cube then the volume of a cone having the same radius and height as that of the cylinder is

Answer 1

100m³

Explanation:

Given:

The volume of the cylinder (V) = 300 m³

To find :

The volume of the cone (v) = ? with the same radius and height a cylinder

Formula:

`\boxed{\tt Volume \:\:of \:\:cylinder = \pi * radius^2*height}`

`\boxed{\tt Volume \:\:of \:\:cone = (1)/(3)\pi * radius^2*height}`

Relation between cylinder and cone:

The relationship between the volume of a cylinder and a cone with the same radius and height is that the volume of the cone is one-third the volume of the cylinder.

Solution:

By using relation we have:

`\tt Volume \:of \:cone = (1)/(3) \:Volume\: of \: Cylinder`

since we have

The volume of the cylinder (V) = 300 m³

`\tt \text{\tt Volume of cone }= (1)/(3)* 300 m^3}`

`\text{\tt Volume of cone} =\bold{100\: m^3}`

Therefore, the Volume of the cone having the same radius and height as that of the cylinder is 100m³.