Math

Suppose Cylinder A has the same height but twice the radius of Cylinder B. What is the ratio of the volume of Cylinder B to Cylinder A?

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  1. cylinder1:
    height = h
    radius = r
    volume = pi r^2 h = pi r^2h

    cylinder2:
    height = h
    radius = 2r
    volume = pi (2r)^2 h
    = 4pi r^2h

    or
    ratio is 1 : 4
    so the volume is 4 times as large

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