Results 1 to 4 of 4

Math Help - Surface Area and Volume with Cones

  1. #1
    Newbie
    Joined
    Mar 2009
    Posts
    5

    Surface Area and Volume with Cones

    The length of each dimension of a cone is increased by 20%.
    a. What is the percent increase in the surface area of the resulting figure?
    b. What is the percent increase in the volume of the resulting figure?
    Explain your answer.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by monkeymath View Post
    The length of each dimension of a cone is increased by 20%.
    a. What is the percent increase in the surface area of the resulting figure?
    b. What is the percent increase in the volume of the resulting figure?
    Explain your answer.
    the fact that the solid is a cone is immaterial ...

    if you increase each linear dimension by 20%, then the area will be increased by \frac{(1.2)^2}{(1)^2} = 44%

    same idea for the volume, except that the linear dimensions are efectively cubed ... \frac{(1.2)^3}{(1)^2} = 72.8%

    check it out using some actual values for any solid ... try something simple like a cube.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2009
    Posts
    5
    I'm sorry but I don't follow you at all... I don't know where those numbers came from or what they mean... Please explain. Thanks!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Mar 2007
    Posts
    1,240

    Talking

    Quote Originally Posted by monkeymath View Post
    I'm sorry but I don't follow you at all... I don't know where those numbers came from or what they mean... Please explain. Thanks!
    Hmm... They were supposed to have covered this topic before you were assigned homework on it...

    To understand the worked solution that was provided, you'll first need to study the topic. So please read through at least three online lessons.

    Once you have learned the basic terms and techniques, please review the solution you were given. If you have questions, you will then be able to reply with a clear statement of where you are getting stuck.

    Thank you!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Surface area and Volume
    Posted in the Calculus Forum
    Replies: 5
    Last Post: August 27th 2011, 12:49 PM
  2. [SOLVED] Volume and Surface Area
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 3rd 2011, 12:28 PM
  3. Surface area and volume?
    Posted in the Calculus Forum
    Replies: 8
    Last Post: October 22nd 2009, 03:14 PM
  4. Surface Area and Volume
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 27th 2009, 12:52 AM
  5. Volume, Surface Area, and Lateral Surface Area
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 14th 2008, 11:40 PM

Search Tags


/mathhelpforum @mathhelpforum