Answer:
Explanation:
The volume of a cylinder is expressed as
V = πr^2h
Where
π is a constant
h is the height of the cylinder
The volume of a cone is expressed as
V = 1/3πr^2h
Where
π is a constant
h is the height of the cone
If the cylinder and a cone have congruent bases and the same volume, it means that
πr^2h = 1/3πr^2h
πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes
h = h/3
It means that the height of the cone is 3 times the height of the cylinder. Therefore,
If height of cylinder = 4 cm, height of cone = 12 cm