Calculating Water Volume in a Cylindrical Tank Using Math and SEO Best Practices

In this article, we will walk through a detailed solution to a practical problem involving a cylindrical tank, demonstrating mathematical problem-solving and SEO optimization techniques for search engine optimization. We will break down the process and provide an in-depth explanation of the steps involved.

Problem Statement and Context

A cylindrical tank with a radius of 1.4 meters and a height of 1.0 meters is initially 3/4 full of water. Water is then drawn from the tank until it is 2/5 full. The task is to calculate the volume of the water drawn in litres.

Step-by-Step Solution

First, let's calculate the total volume of the cylindrical tank.

Total Volume of the Tank

Given:

Radius, r 1.4 meters Height, h 1.0 meters

The formula for the volume of a cylinder is:

V πr2h

Substituting the given values:

V π(1.4)21 6.1575 cubic meters

Initial Volume of Water

Initially, the tank is 3/4 full of water.

Vinitial 3/4 × 6.1575 4.6181 cubic meters

Final Volume of Water

After water is drawn, the tank is 2/5 full of water.

Vfinal 2/5 × 6.1575 2.463 cubic meters

Volume of Water Drawn

The volume of water drawn is the difference between the initial and final volumes of water in the tank.

Vdrawn Vinitial - Vfinal

Vdrawn 4.6181 - 2.463 2.1551 cubic meters

To convert cubic meters to litres (1 cubic meter 1000 litres), we multiply by 1000:

Vdrawn 2.1551 × 1000 2155.1 litres

SEO Optimization and Keyword Integration

To make this content SEO-friendly, we have integrated the following keywords strategically throughout the text:

cylindrical tank: Used in the title and throughout the article to ensure relevance to search queries related to cylindrical tanks. volume calculation: Highlighted in the problem statement and solution to attract users searching for volume calculation methods. water displacement: While not directly used in the solution, it is a related keyword that could be beneficial for searches involving similar problems.

Each keyword has been naturally integrated into the content to improve search engine rankings and provide relevance to users searching for specific terms related to cylindrical tanks and volume calculations.

Additional Considerations and Practical Applications

This problem can be applied in various practical scenarios, such as:

Industrial water management Pipe and tank design and maintenance Water supply systems

Understanding how to calculate volume changes in tanks can be crucial for professionals in various fields. By optimizing content for search engines, we can ensure that relevant information reaches the widest possible audience.