Tank Volume Calculation

Introduction

To construct a tank with a volume of 2000 liters (which equals 2 cubic meters) assuming the tank is cylindrical, the relationship between volume, radius (or diameter), and height of the cylinder is given by:

V = π × r² × h

Where:

V is the volume of the tank (in cubic meters).
r is the radius of the cylinder's base (in meters).
h is the height of the tank (in meters).

Since the diameter of the tank d is equal to 2r, we can rewrite the equation as:

V = π × (d/2)² × h

Substituting V = 2 cubic meters into the equation, we have:

2 = π × (d/2)² × h

To determine the values of diameter and height, we can choose one of these values and solve for the other. For example, if we consider the height of the tank h to be 1.5 meters, the equation becomes:

2 = π × (d/2)² × 1.5

Solving this equation for d:

d² / 4 = 2 / (1.5 × π)

d² = 8 / (3π)

d = √(8 / 3π)

This approximately equals d ≈ 0.92 meters (or 92 cm).

Therefore, in this case, the tank's diameter would be about 92 cm and the height would be 1.5 meters.

You can adjust the height and diameter accordingly, but the volume will always remain 2 cubic meters.