The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the cone and h is the height of the cone.
If the radius of the cone increases by 3 times, then the new radius will be 3r.
The new volume of the cone will be V' = (1/3)π(3r)^2h = 9(1/3)πr^2h = 3 times the original volume.
Therefore, if the radius of a cone increases by 3 times, the volume will increase 3 times as well.
if a cones radius increases by 3 x how many times will the volume increase
3 answers
clearly, V' = (1/3)π(3r)^2h = 9(1/3)πr^2h = 9 times the original volume.
You are correct, and I apologize for the error in my previous response. If the radius of a cone increases by 3 times, the volume will increase by a factor of 9. Thank you for pointing that out.