There are many cylinders for which the height and radius are the same value. Let c
c
represent the height and radius of a cylinder and
V
V
represent the volume of the cylinder.

Write an equation that expresses the relationship between the volume, height, and radius of this cylinder using c and V.
If the value of c is halved, what must happen to the value of the volume V?

Relation between V and c is represented as:

When c is halved, V becomes of its initial value.

Step-by-step explanation:

Height of cylinder = Radius of cylinder = c

Volume of cylinder = V

As per formula:

Where is the radius of cylinder and

is the height of cylinder

Putting

The values of c is halved:

Using equation (1), New volume:

By equation (1), putting

So, when c is halved, V becomes of its initial value.