What is the formula for the volume of a cylinder?

The volume of a cylinder is given by V = πr²h, where r is the radius of the circular base and h is the height of the cylinder.

How do you convert cubic centimeters to litres?

1 Litre equals exactly 1,000 cubic centimeters (cm³) or 1,000 millilitres (mL). To convert cm³ to litres, divide by 1,000.

Volume Calculator — Sphere, Cylinder, Cone, Prism & Cube

Understanding 3D Solid Volumes

Volume is the three-dimensional quantity of space enclosed by a closed surface or geometric boundary. It is expressed in cubic units such as cubic meters (m³), cubic centimeters (cm³), or liquid capacity units like litres and gallons.

Frequently Asked Questions

Why is a cone's volume exactly one-third of a cylinder's?

A cone and cylinder sharing the same base radius r and vertical height h have a volume ratio of exactly 1:3, proven by Cavalieri's Principle and integral calculus: V = ⅓πr²h.

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