Quarter-Cylinder Fish Tank Volume Calculator - Calculate volume in litres, gallons, cubic feet, bbl, cubic meters

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Quarter-Cylinder Fish Tank Volume Formula

Volume Calculation

The volume of a quarter-cylinder fish tank can be calculated by determining the volume of a full cylinder and then dividing it by 4, since the tank represents a quarter of the full cylindrical shape. The formula to compute the volume of a quarter-cylinder fish tank is:

$\text{Quarter-Cylinder Volume} = \frac{\pi \times \text{radius}^2 \times \text{height}}{4}$

Where:

diameter = The full diameter of the tank, which is twice the radius
height = The vertical height of the tank from the bottom to the top edge
radius = The radius of the quarter-circle base of the tank, which is half of the diameter

In this case, the radius refers to the radius of the curved side of the quarter-cylinder, and the height is the same as the height of the tank. To get the total volume, multiply the area of the quarter-circle base (which is one-fourth of the full circular area) by the height of the tank.

This formula is particularly useful for calculating the volume of tanks or containers with a quarter-cylinder shape, where the tank is effectively one-quarter of a full cylindrical tank. The shape is common in some specialized aquariums or water reservoirs, where the tank is designed to fit into a corner or a space with a curved profile.