Question

if the height of a cylinder is halved its volume will be​

Answer 1

Answer:

Step-by-step explanation:

→ Volume of right circular cylinder is directly proportional to its height, and also to square of radius of base.

V = πr^2h

If height is halved, and radius of base remain constant, then volume will also halve.

Answer 2

Given : The height of a cylinder is halved.

To find : Change in its volume.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the change in its volume)

Let,

The base radius of a cylinder = r

And, the height of that cylinder = h

So, the volume of the cylinder will be :

= π × (radius)² × height

= πr²h

If the height is halved, then the new height will be :

$= \frac{h}{2}$

So, the new volume will be :

$= \pi \times {r}^{2} \times \frac{h}{2}$

$= \frac{\pi {r}^{2}h }{2}$

$= \frac{previous \: \: volume}{2}$

Hence, the volume will be halved as well.