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The volume of a sphere is 3,000pi m cubed. What is the surface area of the sphere to the nearest square meter?

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  1. 2 May, 12:37
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    V = (4/3) pir³

    SA=4pir²

    3000pi = (4/3) pir³

    divide both sides by pi

    3000 = (4/3) r³

    times both sides by 3

    9000=4r³

    divide both sides by 4

    2250=r³

    cube root both sides

    5∛18=r

    SA=4pir²

    SA=4pi (5∛18) ²

    SA=4pi25 (3∛12)

    SA=300pi∛12

    aprox

    2157.7

    round

    2158

    the surface area is 2158 m²
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