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
Diameter / 2
Let's find the surface area of the spherical statue.
Step 1: Determine the radius from the given diameter. Radius (r) = Diameter / 2 r = 3.5 m / 2 r = 1.75 m
Step 2: Write the formula for the surface area of a sphere. Surface Area (A) = 4πr²
Step 3: Substitute the radius into the formula. A = 4 × π × (1.75 m)²
Step 4: Calculate the square of the radius and then multiply. A = 4 × π × 3.0625 m² A = 12.25π m²
Step 5: Calculate the numerical value (using π ≈ 3.14159). A ≈ 12.25 × 3.14159 m² A ≈ 38.4845 m²
The surface area of the water statue is approximately 38.48 m².
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Determine the radius from the given diameter. Radius (r) = Diameter / 2 r = 3.5 m / 2 r = 1.75 m Step 2: Write the formula for the surface area of a sphere.
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.