A right cylinder and a right circular cone have the same radius and same volume. The ratio of the height of the cylinder to that of the cone is:

by

A. 1 : 3
B. 5 : 1
C. 2 : 4
D. 1 : 4

🧠 Explanation (Math):

Given: Cylinder and cone with same radius and same volume; find ratio h_cyl : h_cone
Step 1: V_cyl = πr²h_cyl
Step 2: V_cone = (1/3)πr²h_cone
Step 3: Equate volumes ⇒ πr²h_cyl = (1/3)πr²h_cone
Step 4: Cancel common terms ⇒ h_cyl = (1/3)h_cone
Final Answer: 1 : 3