A lead pipe 20 ft long is 3/8 inch thick and has an inner diameter of 3 inches. Find the volume of l

Discussion in 'Calculator Requests' started by math_celebrity, Mar 7, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A lead pipe 20 ft long is 3/8 inch thick and has an inner diameter of 3 inches. Find the volume of lead in it.

    A lead pipe is a cylinder. We want the volume of a cylinder.

    Convert 20ft to inches:
    20ft = 12(20) = 240 inches

    Find the inner radius:
    1/2 * inner diameter
    1/2 * 3 = 3/2

    Now add the thickness for the total radius
    3/2 + 3/8 = 12/8 + 3/8 = 15/8

    Find volume of the lead where volume = pi r^2 h
    Lead vol (V) = Overall volume - inner volume
    Lead Vol = pi(15/8)^2(240) - pi(3/2)^2(240)
    Lead Vol = 240pi(225/64 - 9/4)

    9/4 = 144/64
    Lead Vol = 240pi(225/64 - 144/64)
    Lead Vol = 240pi(81/64)
    Lead Vol = 303.75pi
     

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