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19 May, 12:10

What is the radius of a hemisphere with a volume of 8231 cm3

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  1. 19 May, 15:31
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    radius r = 15.7808841 cm

    Step-by-step explanation:

    base circumference C = 99.1542189 cm

    volume V = 8231 cm³

    curved surface area A = 1564.74123 cm

    base surface area B = 782.370617 cm²

    total surface area K = 2347.11185 cm²

    In Terms of Pi π

    base circumference C = 31.5617681 π cm

    volume V = 2620.00867 π cm³

    curved surface area A = 498.072604 π cm²

    base surface area B = 249.036302 π cm²

    total surface area K = 747.108906 π cm²

    Hemisphere Formulas in terms of radius r:

    Volume of a hemisphere:

    V = (2/3) πr³

    Circumference of the base of a hemisphere:

    C = 2πr

    Curved surface area of a hemisphere (1 side, external only):

    A = 2πr²

    Calculate the base surface area of a hemisphere (a circle):

    B = πr²

    Total surface area of a hemisphere:

    K = (2πr²) + (πr²) = 3πr²
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