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The circumference of the base circle can be found as 2πr. The area of a rectangle can be found by multiplying the lengths of its sides. "Unrolling" the side surface of a cylinder onto a plane, we will get a rectangle, with one of the sides equal to h and the other side equal to the circumference of the base circle. Therefore, the volume of a cylinder, V, can be found with the following formula:Ī cylinder's lateral surface area is occupied by its curved side. The circle's surface area can be found as πr². The base of a circular cylinder is a circle with a radius r. The volume of a cylinder can be found by multiplying its base area by its height. You can also choose the units (meters, centimeters, millimeters, miles, yards, feet, inches), and the number of significant figures (up to 9) for rounding the final answers.Īfter making all the choices, press "Calculate". For example, if you input π = 10, the value of 3.1415926535898 will be used during the calculations. Note that the default value will also be used if you enter a value very far from the actual value of π. Then you can choose the value of π used during the calculations. The available options are:Īfter choosing the type of calculation, enter the given values corresponding to the selected type.įor example, if you need to calculate the total area of a cylinder, lateral area of a cylinder, and cylinder volume, and if cylinder height and base radius are known (Calculate V, L, A | Given r, h), enter cylinder height, h, and base radius, r, into the corresponding fields. To use the calculator, choose the calculation type from the drop-down menu on the top. The additional characteristics used for the calculations are: This calculator uses the following notation for the circular cylinder characteristics: Thus, the calculator can be used as a cylinder volume calculator and a cylinder surface area calculator. To find the missing characteristics, two of the parameters listed above must be known. The parameters include cylinder height, radius, volume, lateral surface area, and total surface area. Consider a different aquarium shape despite the fancy look of such a tank.This calculator finds the missing characteristics of a circular cylinder based on the known parameters. Spherical aquariums are usually small tanks, fish have to swim in circles, which is unnatural for them, and it's hard to put a filter into such a tank. Just remember that such tanks are not appropriate for keeping fish, and in some countries, they're even forbidden! Is your aquarium in a custom or bizarre shape? Check out our other tools, such as the triangular prism volume or spherical cap calculator, which can find water volume for spherical aquariums, also called fish bowls.
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Tan(β) = 0.5 × length / (full_width - width).įor the aquarium with a bow front intended to stand in the corner, the formula is:Ĭorner bowfront = (0.5r² × (α - sin(α)) × height)/2 You can calculate the angle α with α = 2π - 4β, where β is an angle expressed as: Where α is the central angle of the circular segment, in radians, and r is a radius of a circle. You need to have given four dimensions: height, width, length, and the full width of the aquarium, and then you can derive the final formula:īowfront = height × width × length + 0.5 × r² × (α - sin(α)) × height, It's handier to use radius instead of diameter in this last case: diameter = 2 × radius.Ĭalculating the volume of the bowfront aquarium is a bit trickier. Quarter cylinder = π × radius² × height / 4 To determine the volume of the quarter of the cylinder, take a fourth part of the full volume: Half cylinder = π × (diameter / 2)² × height / 2 Your fish tank is a half-cylinder? No problem, just divide the formula above by 2: If you want to calculate the water volume of a cylindrical aquarium, use the formula for cylinder volume: Our cube calculator can help you calculate this volume easily. The cube-shaped aquarium has the easiest volume equation – simply raise the edge length to the third power: Our rectangular prism calculator will make this calculation simple.
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To find the volume of a standard aquarium, calculate the volume of a rectangular prism (also called the volume of a box): If you want to calculate the aquarium size manually, you can use the different formulas for volume, depending on the tank shape.