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A cylinder has a diameter of 80 cm and a length of 45 cm. Another cylinder has the same volume but is 80cm long. What is the diameter of the longer cylinder?

  • math -

    Volume of cylinder
    = πr²h
    = π(80/2)²*45
    = 72000π

    Volume of the other cylinder = 72000π
    = π(diameter/2)²*80
    Solve for diameter in
    72000π = π (diameter/2)²*80

    I get diameter=60.

  • math -

    V=([d^2*pi)/4] *L

    [(80^2*pi)/4]*45=[(d^2*pi)/4]*(45+80)

    Multipy both sides of this equation with(4/pi)

    (80^2)*45=d^2*(45+80)

    6400*45=d^2*125

    288000=d^2*125

    Divide both sides with 125

    288000/125=d^2

    2304=d^2

    d=sqroot(2304)

    d=48 cm

  • math -

    don't known

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