To calculate the lake volume:
\[ LV = \frac{\pi \times D^2}{4} \times \frac{LD}{7.481} \]
Lake volume is the total amount of water contained within a lake. It is typically measured in gallons or cubic feet and is calculated based on the lake's surface area (diameter) and average depth. Understanding the volume of a lake is important for various environmental and engineering applications, such as water resource management and ecological studies.
Let's assume the following values:
Step 1: Calculate the area of the lake's surface:
\[ \frac{\pi \times D^2}{4} = \frac{\pi \times 500^2}{4} = 196349.54 \text{ square feet} \]
Step 2: Multiply the area by the average depth and divide by 7.481:
\[ LV = \frac{196349.54 \times 20}{7.481} = 524,000.00 \text{ gallons} \]
Let's assume the following values:
Step 1: Calculate the area of the lake's surface:
\[ \frac{\pi \times D^2}{4} = \frac{\pi \times 1000^2}{4} = 785398.16 \text{ square feet} \]
Step 2: Multiply the area by the average depth and divide by 7.481:
\[ LV = \frac{785398.16 \times 30}{7.481} = 3,150,000.00 \text{ gallons} \]