Cylinder Volume Calculator
Find the volume and surface area of a cylinder from its radius and height.
Result
Volume
785.3982
Surface area
471.2389
How it works
A cylinder is a circle given height: its volume is the circle's area times how tall it stands, V = π·r²·h. The total surface combines two circular caps and the side wall unrolled into a rectangle: S = 2πr² + 2πr·h. Because the radius is squared and the height is not, the two inputs are not equal players. Doubling the height doubles the volume, but doubling the radius quadruples it — a wide tank holds far more than a tall one of the same material. The formula prices everyday containers: a can of radius 3.3 cm and height 11.5 cm holds π × 3.3² × 11.5 ≈ 393 cm³ — the familiar 33 cl. Water tanks, pipes, silos and drums all answer to the same three symbols.
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Frequently asked questions
How do I find a cylinder's volume?
Multiply the base area (π·r²) by the height: V = π·r²·h.
What is the total surface area?
2πr² (the two circles) + 2πrh (the side) = 2πr(r + h).
What matters more, radius or height?
Radius, because it is squared in the formula. Doubling the height doubles the volume; doubling the radius multiplies it by four — width beats height for capacity.
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