Results 1 to 3 of 3

Math Help - capacity

  1. #1
    Newbie
    Joined
    Dec 2006
    Posts
    11

    capacity

    A plumbing firm is required to make a copper cylinder of 115 litres capacity to fit into a smaller than usual airing cupboard in which the max diameter is the cylindermust not exceed 425mm. How high will the cylinder need to be?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Quote Originally Posted by jaswinder View Post
    A plumbing firm is required to make a copper cylinder of 115 litres capacity to fit into a smaller than usual airing cupboard in which the max diameter is the cylindermust not exceed 425mm. How high will the cylinder need to be?
    I don't know exactly what an airing cupboard means, but if I understand the problem, then it is just about volumes of cylinders.

    V = pi(r^2)h

    r = (425mm)/2 = 212.5 mm = 21.25 cm. maximum
    V = 115 liters = 115,000 cu.cm.
    So,
    V = pi(21.25^2)h = 115,000
    h = 115,000 / (pi *(21.25^2)
    h = 81.064 cm = 810.64 mm high or lower. -----------answer.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by jaswinder View Post
    A plumbing firm is required to make a copper cylinder of 115 litres capacity to fit into a smaller than usual airing cupboard in which the max diameter is the cylindermust not exceed 425mm. How high will the cylinder need to be?
    Answered a number of times before, see here.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. % of Total Capacity
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 30th 2011, 09:43 AM
  2. Capacity expansion and entry deterrence
    Posted in the Business Math Forum
    Replies: 0
    Last Post: November 10th 2010, 09:21 AM
  3. Calculating percentage capacity used...help!!!
    Posted in the Geometry Forum
    Replies: 2
    Last Post: January 24th 2010, 06:06 PM
  4. Capacity of a cube
    Posted in the Geometry Forum
    Replies: 1
    Last Post: July 21st 2009, 09:15 AM
  5. Analytic capacity subadditivity
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: April 24th 2009, 06:10 PM

Search Tags


/mathhelpforum @mathhelpforum