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Math
Cylinder Calculator
Calculate cylinder volume, surface area, and lateral area from radius and height.

Cylinder Calculator

Calculate the volume, total surface area, lateral surface area, and base area of any cylinder. Enter the radius and height to get instant results.

A cylinder is a three-dimensional solid with two parallel circular bases connected by a curved surface. It is one of the most common shapes in engineering, manufacturing, and everyday life.

Cylinder Formulas:

  • Volume: V = pi x r^2 x h (base area times height)
  • Lateral Surface Area: LSA = 2 x pi x r x h (the curved side)
  • Total Surface Area: TSA = 2 x pi x r x h + 2 x pi x r^2 (side plus both bases)
  • Base Area: A = pi x r^2

Real-World Applications:

Cylinder calculations are essential for determining the capacity of tanks, pipes, cans, and barrels. Engineers use these formulas to calculate material requirements for cylindrical structures, and chemists use them for graduated cylinders and reaction vessels.

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