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

User SMaN
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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.
User Adam Hassan
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Answer-

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.

User George Host
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