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16 March, 05:31

A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in. What is the maximum radius of the basketball that the designer can create? Use 3.14 for π.

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  1. 16 March, 05:35
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    Maximum radius of the ball can be 3.7 in

    Step-by-step explanation:

    Basketball can be considered as a sphere.

    As the total area of the fabric is 171.9 in², the surface area of the basketball should also be the same.

    As basketball is a sphere, its surface area is given by:

    A = 4πr²

    As A = 171.9 in² and π = 3.14, the equation becomes:

    171.9 in² = (4) (3.14) (r²)

    171.9 in² = 12.56r²

    r² = 171.9 in² / 12.56

    r² - 13.69 in²

    r = √13.69 in²

    r = 3.7 in

    So the maximum radius of the ball can be 3.7 in
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