zztool What is a Cylinder?
A cylinder is a three-dimensional geometric shape with two parallel, equal circular bases connected by a curved surface (lateral surface). The volume equals base area times height: V = πr²h. Cylinders are common in everyday life, such as pipes, cans, and pillars.
Cylinder Formulas
V = πr²h = πd²h/4Base area times height
S_lat = 2πrh = πdhUnfolded lateral surface is a rectangle
S_base = πr²Circle area formula
S_total = 2πr² + 2πrh = 2πr(r+h)Two bases plus lateral area
Real-World Applications
Container Capacity
Calculate capacity of cans, buckets, barrels
Engineering
Calculate material for pipes and columns
Construction
Calculate concrete for cylindrical structures
Water Tanks
Calculate storage capacity of cylindrical tanks
Calculation Tips
- ✓ Volume units are cubed length units, like cm³ or m³
- ✓ 1 liter = 1000 cm³ = 0.001 m³
- ✓ The lateral surface unfolds into a rectangle with length = circumference, width = height
- ✓ Surface area = 2 × base area + lateral area
- ✓ Diameter is twice the radius - be careful when calculating
FAQ
What is the difference between a cylinder and a cone?
A cylinder has two equal circular bases with a curved lateral surface; a cone has one circular base and comes to a point at the top. A cone's volume is one-third of a cylinder with the same base and height.
How to calculate oblique cylinder volume?
The volume formula is the same as a right cylinder: V = πr²h, where h is the perpendicular height (vertical distance between bases), not the slant height.
How many liters in a cubic meter?
1 cubic meter = 1000 liters. 1 liter = 1000 cubic centimeters = 1 cubic decimeter.
How to measure cylinder radius?
Measure the diameter and divide by 2. The diameter is the longest chord through the center - measure the widest part of the circular base.
Accurate volume calculations.
Great for engineering work.
Perfect cylinder calculator!