How many liters in a cylinder?

Calculate volume in cubic meters, then multiply by 1000. V(liters) = π × r² × h × 1000 (if r and h are in meters).

What is the surface area of a cylinder?

Total SA = 2πr² + 2πrh (two circular ends + curved surface).

How do I find the height from volume?

h = V / (πr²). Divide the volume by the area of the base.

How to Calculate the Volume of a Cylinder

The volume of a cylinder represents the amount of space it occupies. This formula is essential in engineering, cooking, tank capacity, and many practical applications.

Cylinder Volume Formula

V = π × r² × h

Where:

V = Volume of the cylinder
π = Pi (approximately 3.14159)
r = Radius of the circular base
h = Height of the cylinder

Step-by-Step:

1
Find the radius
If given diameter, divide by 2.
2
Square the radius
Calculate r².
3
Multiply by π and height
V = π × r² × h.

Worked Examples:

Water tank

Radius: 2mHeight: 5m

Result: 62.83 m³

V = π × 4 × 5 = 62.83 cubic meters ≈ 62,832 liters