\n ## Problem Solution: Conical Container Radius Calculation ### Overview This image presents a math problem and its step-by-step solution, likely from an educational platform (WeMath). The problem involves calculating the radius of the base of a conical water container given the circumference of its upper edge. A diagram of a cone is included, with a height labeled as 20cm. The solution is broken down into numbered steps, each marked as "Correct". ### Components/Axes The image contains the following components: * **Question:** A textual problem statement. * **Multiple Choice Answers:** A, B, 9, C, 10, D, Cannot be determined, E. No correct answer. * **Solution:** A series of numbered steps explaining the calculation. * **Diagram:** A 2D representation of a cone with a labeled height. ### Detailed Analysis or Content Details The problem statement is: "Given that the circumference of the upper edge of a conical water container is 62.8 cm, what is the radius of its base circle in cm?" The multiple choice answers are: A. 8, B. 9, C. 10, D. Cannot be determined, E. No correct answer. The solution steps are as follows: 1. **Step-1 (Correct)**: To determine the *radius* of the base of the cone: The formula for the circumference of a circle is: `C = 2πr` where `C` is the circumference and `r` is the radius. 2. **Step-2 (Correct)**: We are given `C = 62.8 \text{ cm}`. Substitute this value into the formula: `62.8 = 2πr` 3. **Step-3 (Correct)**: Solve for `r`: `r = \frac{62.8}{2π}` 4. **Step-4 (Correct)**: Use the approximation `π \approx 3.14`: `r = \frac{62.8}{2 \times 3.14} = \frac{62.8}{6.28} = 10 \text{ cm}` 5. **Step-5 (Correct)**: Thus, the radius of the base circle is *10 cm*. 6. **Step-6 (Correct)**: ## Final Answer: **C. 10** The diagram shows a cone with a height of 20cm. The base radius is not labeled. ### Key Observations * The solution is presented in a clear, step-by-step manner. * Each step is explicitly marked as "Correct", indicating a verified solution. * The problem utilizes the standard formula for the circumference of a circle. * The final answer corresponds to option C in the multiple-choice selection. * The diagram provides a visual aid but doesn't directly contribute to the numerical solution. ### Interpretation The image demonstrates a typical math problem-solving approach. It presents a real-world scenario (a conical container) and requires the application of a geometric formula to find the unknown radius. The step-by-step solution breaks down the problem into manageable parts, making it easier to understand and follow. The use of the approximation `π ≈ 3.14` simplifies the calculation. The diagram serves as a visual representation of the problem, aiding in comprehension. The problem is designed to test the student's understanding of circumference and radius relationships. The final answer of 10 cm is consistent with the given circumference of 62.8 cm and the approximation of pi.