Calculating the Length of a Bamboo Pole to Hold 2 Litres of Liquid

In both traditional and contemporary contexts, bamboo poles play a significant role in various applications, from construction to everyday utensils. A crucial aspect of using a bamboo pole, especially for liquid storage, is understanding its capacity. In this article, we will delve into the calculation of the length required for a bamboo pole with an inside diameter of 4 cm to hold 2 liters of liquid. This information is particularly relevant for those working with bamboo in engineering, construction, or crafting.

Statement of the Problem

A bamboo pole has an inside diameter of 4 cm. What is the length of the pole that will hold 2 liters of liquid?

Given Information and Solution

Bamboo Pole - Inside Diameter D 4 cm
Volume V 2 Liters
We have mixed units. Liters must be converted.

Step-by-Step Calculation

Convert Volume to Cubic Centimeters: 1 litre of liquid 1000 cubic cm. Hence, liquid in the hollow bamboo 2 litres 2000 cubic cm. Find the Radius: The diameter of the bamboo pole is 4 cm, so the radius is 1/2 x 4 2 cm. Use the Volume Formula for a Cylinder: Volume Base Area x Length L. Therefore, V π r^2 L. Substitute Values: Since V 2000 cm^3 and r 2 cm, we get 2000 π 2^2 x L. Solve for Length L: L 2000 / (4π) 2000 / (4 x 3.14159) ≈ 159.154 cm or approximately 1.59 meters.

Double Check of Calculation

The calculation is double-checked to ensure accuracy and consistency. The result is correct, confirming the length required for the bamboo pole to hold 2 liters of liquid is approximately 159.154 cm or 1.59 meters.

Conclusion

The length of the bamboo pole needed to hold 2 liters of liquid is approximately 159.154 cm or 1.59 meters. This precise measurement is essential for those working with bamboo in applications such as irrigation systems, storage containers, or traditional crafts, ensuring the bamboo pole can meet its intended volume requirements.

Related Keywords

bamboo pole length volume of cylinder liquid capacity

Note: The bamboo pole is generally not uniformly 4 cm in diameter along its entire length. In practice, the pole's diameter typically tapers, becoming smaller towards the top and wider towards the base. This tapering must be considered when using the bamboo pole in applications that require a specific volume capacity.