Math Calculator
Professional mathematical conversions and calculations. Convert fractions, decimals, number systems, and perform geometric calculations with step-by-step solutions.
Computes the volume of 3D shapes: sphere (4/3πr³), cube (a³), cylinder (πr²h), cone (1/3πr²h), and more.
Archimedes proved that the volume of a sphere is exactly 2/3 of the volume of the circumscribed cylinder (the smallest cylinder that fits around it) — a result he was so proud of that he asked it to be engraved on his tombstone.
Using the wrong formula for cone vs pyramid — a cone is 1/3 × base area × height, same as a pyramid. The base area differs: circle (πr²) for cone, polygon for pyramid.