What happens to the volume of a cone when the height is doubled?
Answer (3)
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-
When the height is doubled, the volume of the cone also gets *** doubled.***
Solution-
Volume of a cone is given by,
V = 3 π × r 2 × h
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 = 3 π × r 2 × x
As the height is doubled, so height = 2x, then volume would be,
V 2 = 3 π × r 2 × 2 x = 2 × 3 π × r 2 × x = 2 × V 1
Therefore, when the height is doubled, the volume of the cone also gets doubled.
When the height of a cone is doubled, the volume of the cone also doubles. This is shown through the volume formula of a cone, where volume is directly proportional to height. Hence, doubling the height results in doubling the volume.
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