Let's break down the problem step-by-step and provide solutions for each part:
a) What is the radius of the tank's base?
The radius is half the diameter of a circle. If the diameter of the tank's base is 5 meters, then the radius r can be calculated as follows: r = 2 diameter = 2 5 meters = 2.5 meters . So, the radius of the tank's base is 2.5 meters.
b) If the engineers build 5 tanks, how many meters of diameter will be used in total?
To find the total meters of diameter used for 5 tanks, multiply the diameter of one tank by the number of tanks: Total diameter = 5 meters (per tank) × 5 tanks = 25 meters . Therefore, the engineers will use 25 meters of diameter in total for all 5 tanks.
c) Why is it important to design water tanks using circles and how does this help support clean water access in a sustainable way?
Designing water tanks with circular bases has several advantages:
Structural Efficiency : Circular shapes naturally withstand external pressure better, which is crucial in areas like the desert where high winds or shifting sands may present challenges.
Material Optimization : Circles provide maximum volume with the minimum surface area, which means they require less material to construct while holding the same amount of water compared to other shapes. This makes construction more sustainable and cost-effective.
Equal Pressure Distribution : A circular shape allows for uniform distribution of pressure against the walls of the tank, minimizing weak points and potential failures.
Ease of Construction and Maintenance : Circular tanks are easier to clean and maintain, which is vital in ensuring that water remains clean. They do not have corners where sediment and bacteria can accumulate.
By using circular tanks, engineers can ensure the design is both efficient and effective in providing clean water sustainably in desert areas, where resources and maintenance opportunities may be limited.