Question

What happens to the volume of a cone when the height is doubled ?

Answer 1

if the value of the volume of the cone let says the radius is 1 and the height is 2. Then the volume is 2pi. If the height is now 4, then it just doubled.

Answer 2

When the height is doubled, the volume of the cone also gets doubled.

Solution-

Volume of a cone is given by,

`V=(\pi * r^2* h)/(3)`

Where,

V = Volume,

r = radius of the base,

h = height of the cone.

Let, height at first be x, then volume would be,

`V_1=(\pi * r^2* x)/(3)`

As the height is doubled, so height = 2x, then volume would be,

`V_2=(\pi * r^2* 2x)/(3)\\\\=2* (\pi * r^2* x)/(3)\\\\=2* V_1`

Therefore, when the height is doubled, the volume of the cone also gets doubled.