The volume of a cylinder is obtained by multiplying the area of its base by the height
Answers
ANSWER
This statement is true
EXPLANATION
Volume refers to the space that is occupied by a three dimensional solid. hence, it is a 3D quantity.
A right Cylinder is a three dimensional solid with the basic shape "circle". we can visualise circle as a solid with lots of multiple circular disc over one another. The top and bottom circle of a cylinder are congruent.
Just like we find the volume of a cube or cuboid, we can use the similar logic to find the volume of a cylinder.
Volume of a cuboid = length × breath × height
As we can visualise cuboid as a stack of rectangular plates. Here, l × b shows the area of the base of the cuboid and we are multiplying the base area with the height.
Hence,
The volume of a cylinder is obtained by multiplying the area of its base by the height
We can now derive the the formula for volume of a cylinder:
The radius of the base of the cylinder be "r"
Let the height of the cylinder be "h"
The area of a circle with radius "r" is :
⟹ πr²
The base area times height is:
⟹ πr²h
πr²h is the area of a cylinder with radius of the base "r" and height "h"
