Cylinder Volume Calculator
Calculate cylinder volume and surface area from radius and height.
Enter Radius and Height
Volume: 141.37 cubic units
Surface Area: 150.80 square units
Surface Area: 150.80 square units
Calculations:
Volume: V = πr²h = π(3)²(5) = 45π = 141.37
Surface Area: SA = 2πr² + 2πrh = 2π(9) + 2π(3)(5) = 48π = 150.80
Cylinder Formulas
Volume: V = πr²h
Surface Area: SA = 2πr² + 2πrh = 2πr(r + h)
where: - r = radius of the base - h = height - π ≈ 3.14159
How to Calculate Cylinder Volume
- Measure the radius of the circular base
- Measure the height of the cylinder
- Square the radius and multiply by height
- Multiply by π
Understanding the Formulas
- Volume = (area of base) × height = πr² × h
- Surface Area = (2 circular bases) + (lateral surface)
- Base area = 2πr²
- Lateral area = 2πrh
Real-World Applications
Cylinder calculations are used for: - Tanks and containers - Pipes and tubes - Cans and barrels - Engine cylinders - Water towers
Common Questions
What is the formula for cylinder volume?
The cylinder volume formula is V = πr²h, where r is the radius of the base and h is the height.
How do you find the surface area of a cylinder?
The surface area formula is SA = 2πr² + 2πrh or SA = 2πr(r + h), which includes both circular bases and the lateral surface.