If you want to triple the volume of a cone, but only change the height, what is the new height?

answer

the new height is 3 times the original height

explanation

the formula for the volume of a cone is

V = π

given that h is the only thing that changes,  π would be a constant

dividing both sides by h results in

= π

if we triple the volume we now have

and since π is a constant,

= π =

=

cross multiply

xVh = 3Vh

divide both sides by Vh to get

x = 3

the new height is 3 times the original height

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