## Math Problem: Conical Water Container Radius Calculation ### Overview The image presents a math problem involving the calculation of the radius of a conical water container's base, given its circumference. It includes a diagram of a cone with a height of 20cm, the problem statement, and a step-by-step solution. ### Components/Axes * **Title:** Data Example from WeMath * **Diagram:** A cone with a height labeled as "20cm". * **Question:** 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? * **Answer Choices:** A. 8 B. 9 C. 10 D. Cannot be determined E. No correct answer * **Solution:** A step-by-step solution is provided, marked with "Step-0" through "Step-6", each labeled as "(Correct)". ### Detailed Analysis or ### Content Details The solution breaks down as follows: * **Step-0:** To determine the **radius** of the base of the cone. * **Step-1:** The formula for the circumference of a circle is: * `C = 2πr` where `C` is the circumference and `r` is the radius. * **Step-2:** We are given `C = 62.8 cm`. Substitute this value into the formula: * `62.8 = 2πr` * **Step-3:** Solve for `r`: * `r = 62.8 / (2π)` * **Step-4:** Use the approximation `π ≈ 3.14`: * `r = 62.8 / (2 * 3.14) = 62.8 / 6.28 = 10 cm` * **Step-5:** Thus, the radius of the base circle is **10 cm**. * **Step-6:** Final Answer: **C. 10** ### Key Observations * The problem provides the circumference of a circle and asks for the radius. * The solution uses the standard formula for the circumference of a circle. * The value of pi is approximated as 3.14. * The correct answer is C. 10. * The height of the cone (20cm) is provided in the diagram but is not used in the calculation. ### Interpretation The image presents a straightforward geometry problem and its solution. The step-by-step solution clearly demonstrates how to calculate the radius of a circle given its circumference. The inclusion of the cone diagram and height might be intended to add context, but the height is ultimately irrelevant to solving the problem as stated. The problem is well-structured and the solution is logically sound.