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Maths

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A hollow spherical metal ball has internal radius 1cm. If the metal is 1/2 cm thick, find the volume of metal ( Take pi equals 22/7)

  • Maths -

    outer radius = 1.5 cm
    volume (if solid metal) = (4/3)π r^3
    = (4/3) π (1.5)^3
    = 4.5π

    Hollow part = (4/3)π(1^3 = 4π/3

    so volume of metal = (9/2)π - (4/3)π
    = (19/6)π
    or appr. 9.95 , (nobody uses 22/7 for π, we all have calculators)

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