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Math Help - maximization question

  1. #1
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    maximization question

    a plumbing firm is required to make a copper cylinder of 155 litres capacity to fit into a smaller than usual airing cupboard in which the diameter of the cylinder must not exceed 425mm. how high will the cylinder need to be?
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  2. #2
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    Quote Originally Posted by zak_killcity14@hotmail.co View Post
    a plumbing firm is required to make a copper cylinder of 155 litres capacity to fit into a smaller than usual airing cupboard in which the diameter of the cylinder must not exceed 425mm. how high will the cylinder need to be?
    For a cylinder:
    V = (pi)r^2*h = (pi)(d/2)^2*h = (pi/4)d^2*h

    You've got V, you've got a maximum d, so solve for h.

    -Dan
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