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Erica's friend Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimeters. The vase had a height of 50 centimeters. Find the radius of the vase. Explain the method you use to find the radius

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  1. 1 November, 00:37
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    Cylinder

    surface area of lateral area and 1 base is 2hpir+pir^2

    height=50

    so

    3000=2hpir+pir^2

    where h=50

    3000=2 (50) pir+pir^2

    3000=100pir+pir^2

    solve for r

    divide both sides by pi

    3000/pi=r^2+100r

    0=r^2+100r-3000/pi

    using quadratic formula

    r=8.77865 or - 108.77

    we can't have negative radius

    radius=8.77865cm

    about 9cm
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