This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Answer
4πr²
Let's find the surface area of the spherical model.
Step 1: Write the formula for the surface area of a sphere. Surface Area (A) = 4πr²
Step 2: Substitute the given radius (r = 21 cm) into the formula. A = 4 × π × (21 cm)²
Step 3: Calculate the square of the radius and then multiply. A = 4 × π × 441 cm² A = 1764π cm²
Step 4: Calculate the numerical value (using π ≈ 3.14159). A ≈ 1764 × 3.14159 cm² A ≈ 5541.76 cm²
The surface area of the model is approximately 5541.76 cm².
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Write the formula for the surface area of a sphere. Surface Area (A) = 4πr² Step 2: Substitute the given radius (r = 21 cm) into the formula.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.