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8 May, 06:49

A cylinder has a volume of 452 cubic inches and a height of 9 inches. What is the radius?

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  1. 8 May, 07:01
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    Step-by-step explanation:

    The formula for volume of a cylinder is ...

    V = πr²h where r is the radius and h is the height. We are given V = 452 and h = 9, plug those values in and solve for r

    452 = πr² (9)

    452 / (9π) = r² (divide both sides by 9π)

    √[452 / (9π) ] = r (take the square root of both sides)

    (√452) / (√9π) = r (the next steps simplify the equation)

    (2√113) / (3√π) = r

    [ (2√113) √π) ]/[3 (√π) (√π) ] = r

    [2√ (113π) ] / (3π) = r
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