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21 November, 03:10

Each CD is approximately 4.72 inches in circumference and 0.05 inches in depth. There are 15 CDs in the stack. Use the Cavalieri's Principle to find the surface area of the stack of CDs

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  1. 21 November, 04:54
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    SA = 7.08 in²

    Step-by-step explanation:

    We can use the following method to solve the given problem

    SA = 2B + LA

    Where LA

    LA = 4.72 * 0.05 * 15 = 3.54

    And

    C = 2πr

    Where

    C = 4.72in

    π = 3.14

    Substituting, we have

    4.72 = 2*3.14*r

    Making r the subject of formula

    r = 0.75in

    Solve for the area of CD

    A = πr²

    Substituting the values we have

    A = 3.14 * (0.75) ²

    A = 1.77 in²

    Solving for surface area of the stack

    SA = 2 (1.77) + 3.54

    SA = 7.08 in²
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