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March 29, 2017

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2 cylinders are proportional. The smaller cylinder has a radius of 4 cm. which is half as large as the radius of the larger cylinder.The volume of the smaller cylinder is 250 cubic cm. What is the approximate volume of the larger cylinder?

  • math - ,

    volume proportional to scale ratio cubed
    250 * 8 = 2000

    note, I did not have to work that out but here is why
    vol = pi r^2 h
    if R = 2 r
    and H = 2 h
    vol big = pi R^2 H = pi (2r)^2 (2 h) = 8 pi r^2 h

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