Diameter of a Cylinder Calculator

A cylinder is defined by its radius (r), height (h), and volume (V). The diameter (d) is simply twice the radius: d = 2r. When calculating the diameter from a known volume and height, the foundational volume formula is rearranged. The volume is calculated as V = π × r^2 × h. Since r = d / 2, substituting this into the volume formula gives V = π × (d / 2)^2 × h. Solving for diameter yields the equation: d = 2 × square_root(V / (π × h)).

Imagine you have a cylindrical water tank with a total volume of 500 cubic feet and a height of 10 feet. To find the diameter of this tank, we use the derived formula: first, divide the volume (500) by π multiplied by the height (10), which gives 500 / 3.14159 × 10 = 15.915. Next, take the square root of 15.915 to find the radius, which equals approximately 3.989 feet. Finally, multiply the radius by 2 to get the diameter. The result is a cylinder diameter of roughly 7.98 feet.

Always ensure your measurements use identical units before entering them into the calculator. Mixing inches and feet will result in severe calculation errors. When measuring physical objects like pipes or cans, measure the outer diameter unless you specifically need the inner capacity (which requires measuring the internal radius). Remember that Pi (π) is approximately 3.14159; using more decimal places yields higher precision in engineering applications.