The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
If both the height and radius of a cone are multiplied by 3, the new radius and height will be 3r and 3h, respectively.
We can substitute these values into the volume formula for the new cone:
V = (1/3)π(3r)^2(3h)
Simplifying the expression gives:
V = (1/3)π(27r^2h)
V = 9πr^2h
So, the volume of the new cone is 9 times larger than the volume of the original cone.
Therefore, if both the height and radius of a cone are each multiplied by 3, the volume of the cone is multiplied by 9