Cone Volume Calculator
Find the capacity of a conical shape. Enter the base radius and the perpendicular height to get the result.
Volume (V) = (1/3) × π × Radius² × Height
If Radius = 3 and Height = 9: V = (1/3) * π * 9 * 9 = 27π ≈ 84.82
What is the volume of a cone?
The volume of a cone is the amount of space it occupies. It is exactly one-third of the volume of a cylinder with the same base radius and height.
What is the formula for cone volume?
The formula is V = (1/3) × π × r² × h, where "r" is the radius of the circular base and "h" is the vertical height.
How do I find volume using slant height?
If you have the slant height (s) and radius (r), first find the vertical height (h) using the Pythagorean theorem: h = √(s² - r²). Then use the volume formula.
Does the formula work for all cones?
This formula applies to right circular cones. For oblique cones, the formula V = (1/3) × Base Area × Perpendicular Height still holds true.
🔗 Related Calculators
📐 Formula
Volume (V) = (1/3) × π × Radius² × Height
📝 Example Calculation
If Radius = 3 and Height = 9: V = (1/3) * π * 9 * 9 = 27π ≈ 84.82
❓ Frequently Asked Questions
What is the volume of a cone?▼
The volume of a cone is the amount of space it occupies. It is exactly one-third of the volume of a cylinder with the same base radius and height.
What is the formula for cone volume?▼
The formula is V = (1/3) × π × r² × h, where "r" is the radius of the circular base and "h" is the vertical height.
How do I find volume using slant height?▼
If you have the slant height (s) and radius (r), first find the vertical height (h) using the Pythagorean theorem: h = √(s² - r²). Then use the volume formula.
Does the formula work for all cones?▼
This formula applies to right circular cones. For oblique cones, the formula V = (1/3) × Base Area × Perpendicular Height still holds true.