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20 March, 05:06

The surface area of a sphere is found using the formula SA=4_r^2 where r is the radius. If the surface area of a sphere is 144_ square feet, what is the radius, in feet?

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  1. 20 March, 09:03
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    The answer is 6 feet.

    The surface area (SA) is

    SA = 4πr²

    r - radius

    It is given:

    SA = 144π feet²

    r = ?

    Since SA = 4πr², then: 144π = 4πr²

    π can be canceled out: 144 = 4r²

    ⇒ r² = 144 : 4 = 36

    ⇒ r = √r² = √36 = 6
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