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    Volume of material used in constructing a hollow cylinder of height 24 cm and thickness 1 cm is 96π cm3. What is the sum of the internal and external
    Question

    Volume of material used in constructing a hollow cylinder of height 24 cm and thickness 1 cm is 96π cm3. What is the sum of the internal and external radii?

    A.

    7 cm

    B.

    5 cm

    C.

    4 cm

    D.

    3 cm

    Correct option is C


    Let the radii of hollow cylinder are be R and r
    Height = h
    As per question R – r = 1 cm
    As we know
    Volume of hollow cylinder = π(R-r)²h
    96 π = π(R+r)(R-r)24
    96 π = π(R+r)(1)24
    96 π = π(R+r)(1)24
    R+r = 96/24
    R + r = 4

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