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19 August, 08:11

Find the volume of a cylinder with a base area of 25 pi in^2 And height equal to the radius. Give your answer both in terms of pi and rounded to the nearest tenth

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  1. 19 August, 10:32
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    The answer to your question is Volume = 125 π in³

    Step-by-step explanation:

    Data

    Volume = ?

    Base area = 25π in²

    height = radius

    Process

    1. - Find the radius

    Area of the base = πr²

    -Equal

    πr² = 25π

    -Solve for r

    r² = 25π/π

    -Simplify

    r² = 25

    -Result

    r = 5 in

    2. - Find the volume of the cylinder

    Volume = πr²h

    -Substitution

    = (25π) (5)

    -Simplification

    Volume = 125 π in³
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