Math Problem Statement

A dam has a surface area of 910 000m². In December the river flows into the dam at an average rate of 1.75m³/s. The meandering river flows out of the dam at an average rate of 1.48m³/s. The evaporation rate was measured to be 12cm/month. A total of 35cm of precipitation fell in December. Seepage losses are negligible. The average depth in the dam on the 1st of December was 27 m. Calculate the average depth in meters of the dam on the 31st of December.

Solution

PIL import Image

Load and display the uploaded image to understand its contents

img_path = '/mnt/data/17326880533006eyo3kxw.jpg' img = Image.open(img_path) img.show()I have displayed the image you uploaded. Let me know how I can assist you with it. Would you like me to extract the math

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Volume calculation
Flow rates
Evaporation rate
Precipitation

Formulas

Volume = Surface Area * Depth
Net Inflow = (Inflow rate - Outflow rate) * Time
Evaporation loss = Evaporation rate * Surface Area
Precipitation gain = Precipitation rate * Surface Area

Theorems

Conservation of Mass

Suitable Grade Level

Grades 10-12

Related Recommendation

Calculate Dam Fill Time with Inflow, Outflow, and Rainfall

Water Balance Problem: Calculating Reservoir Volume Changes and Runoff

Determine the Greatest Average Rate of Water Draining from a Tank Over Time Intervals

Calculating Water Volume in a Tank with Pumping and Draining Functions

Calculate Minimum Water Sales for Dam Viability