Rainwater Harvesting Systems?

📌 CONCEPT: A rainwater harvesting system is designed to collect and store rainwater for non-potable purposes, such as irrigation and toilet flushing.

📐 RULE / FORMULA: The formula to calculate the volume of a cylindrical tank is V = πr²h, where V is the volume, π is a constant (approximately 22/7), r is the radius, and h is the height.

💡 WORKED EXAMPLE: To calculate the volume of water stored in the tank, we first need to find 3/4 of the total volume. Given the radius (r = 5 meters) and height (h = 15 meters) of the tank, we can calculate the total volume using the formula V = πr²h. Then, we multiply the total volume by 3/4 to get the stored volume. For instance, if the total volume is 1500 cubic meters, the stored volume would be (3/4) * 1500 = 1125 cubic meters.

⚠️ COMMON MISTAKE: Students often forget to multiply the volume by 3/4 when calculating the stored volume, or they incorrectly apply the formula for volume of a cylinder.