The diameter of a spherical statue is 3.5m. what is the surface area of the water statue

Mathematics

ScanSolve AI Answer

Step-by-step solution

5 steps

Let's find the surface area of the spherical statue.

  1. Determine the radius from the given diameter.

    Radius (r) = Diameter / 2
    r = 3.5 m / 2
    r = 1.75 m

  2. Write the formula for the surface area of a sphere.

    Surface Area (A) = 4πr²

  3. Substitute the radius into the formula.

    A = 4 × π × (1.75 m)²

  4. Calculate the square of the radius and then multiply.

    A = 4 × π × 3.0625 m²
    A = 12.25π m²

  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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