Cone — Volume & Problems
Cone Volume
Interactive experiments and step-by-step problem solving for Volume of a Cone.
Volume of Cone
🧪 Experimental Verification: Volume of a Cone

Explore how the volume of a cone relates to a cylinder with the same base radius and height. Fill the cone with sand and pour it into the cylinder to discover the relationship.

🧪 Interactive Experiment
Cones Poured: 0 / 3
📋 Activity Observation

Fill the cone with sand or soil dust and pour it into the cylinder until it is filled up completely.

  1. How many times should the cone be poured to fill the cylinder? 👉 It must be poured exactly 3 times.
  2. Is the cylinder filled in exactly three times? 👉 Yes! The cylinder is completely filled after pouring three times.
📐 Mathematical Deduction

Since 3 full cones fill exactly 1 cylinder of equal dimensions:

Volume of Cone (V) = 1⁄3 × Volume of Cylinder
V = 1⁄3 × A × h  =  1⁄3 π r2 h
[ Where Area of base (A) = π r2 ]
Solve Questions — Find Volume
V = ⅓πr²h  |  l = √(r²+h²)  |  h = √(l²−r²)
FIND VOLUME