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31 January, 20:14

This sphere has a diameter of 12 meters.

What is its exact surface area and its exact volume?

Show the formulas and show your work.

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Answers (1)
  1. 31 January, 23:55
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    area: 144π m² volume: 288π m³

    Step-by-step explanation:

    The formula for the surface area of a sphere is ...

    A = 4πr²

    For a radius of 6 meters, that is ...

    A = 4π (6 m) ² = 144π m²

    ___

    The formula for the volume of a sphere is ...

    V = (4/3) πr³ = A· (r/3)

    For the same sphere, this is ...

    V = (144π m²) (6 m/3) = 288π m³
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