A model of a moon is spherical in shape.the model has a radius 21cm.find the surface area of the model

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

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

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

    Surface Area (A) = 4πr²

  2. Substitute the given radius (r = 21 cm) into the formula.

    A = 4 × π × (21 cm)²

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

    A = 4 × π × 441 cm²
    A = 1764π cm²

  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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