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28 June, 05:33

The volume of a sphere is 2,254 pi m^3 what is the surface area of the sphere to the nearest tenth?

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  1. 28 June, 07:56
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    The answer is 567.4 π m².

    The surface area of the sphere with radius r is: A = 4 π r²

    The volume of the sphere with radius r is: V = 4/3 π r³

    Step 1. Calculate the radius from the volume:

    V = 4/3 π r³ = 2,254 π m³

    r³ = (2,254 π) / (4/3 π)

    r³ = 2,254 π/π * 3/4

    r³ = 2,254 * 3/4

    r³ = 1,690.5

    r = ∛1,690.5

    r = 11.91 m

    Step 2. Calculate the surface area using the r:

    A = 4 π r²

    A = 4 π 11.91²

    A = 567.4 π m²
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