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. 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.
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