Cylinder Volume Calculator
Calculate the volume of a cylinder using radius and height with our cylinder volume calculator. Get accurate results with the cylinder volume formula and steps.
What Is a Cylinder?
A cylinder is a three-dimensional solid with two parallel, congruent circular bases connected by a curved lateral surface. Examples include soup cans, water tanks, batteries, and concrete columns.
Volume of a Cylinder Formula
Formula Variables Explained:
The radius of the circular top and bottom faces.
The straight distance between top and bottom circular bases.
The surface area of the circular base (B = πr²).
The volume of a cylinder is found by multiplying its base area (πr²) by its height (h): V = π × r² × h. If you know the diameter (d), the formula becomes V = π × (d/2)² × h = (π/4) × d² × h.
How to find the volume of a Cylinder?
- 1Find the radius (r) of the circular base and perpendicular height (h).
- 2Square the radius: r² = r × r.
- 3Multiply r² by Pi (π ≈ 3.14159265).
- 4Multiply by height (h) to find total enclosed volume.
Example: Calculate the Volume of a Cylinder
Example 1: Calculate the volume of a water tank cylinder
Problem: A cylindrical water tank has a radius of 3 meters and a height of 7 meters. What is its capacity?
- Formula: V = π × r² × h
- Substitute r = 3 and h = 7: V = π × (3²) × 7
- V = π × 9 × 7 = 63π
- V ≈ 63 × 3.14159265 ≈ 197.92 m³
- In Liters: 197.92 m³ × 1,000 = 197,920 Liters
Frequently Asked Questions (FAQ)
Q: How do you convert cylinder volume into liters or gallons?
Calculate volume in cubic meters (m³) and multiply by 1,000 to get Liters, or multiply cubic feet (ft³) by 7.48052 to get US Gallons.