math

what should be the dimensions of the cylinder if you wanted it to have the least amout of surface area as possible?

the cylinders volume is 100ft cubed

  1. 👍 0
  2. 👎 0
  3. 👁 117
  1. I assume this is calculus class.

    Volume= PI*radius^2*h
    h= volume/(PI*radius^2)

    Surface=PI*radius^2*2 + PI*radius*height
    Surface= PI*radius^2 * 2 + PI*radius*volume/(PI*radius^2)

    Take the derivative of surface with respect to radius, set it to zero, and solve for radius.

  2. i am only in 7th grade! Could you explain that a little more to me

    1. 👍 0
    2. 👎 0
  3. Sorry, this question is a typical college level calculus question. For a seventh grader, it is a little harder.

    Try this. Graph Surface area vs radius according to the equation I gave you...

    Surface= 2*PI*radius^2 + 100/radius
    You will see a graph that has a minimum. If you have a graphing calculator, it is easy to graph.

    Once you have the minimum, read the radius point on the curve. Then,
    Height= 100/(PI*radius^2)

    This problem is a bit advanced for a seventh grader.

  4. i have an answer but i don't know if it is right! will you tell me if i am right or wrong.

    i got that the dimensions 31.83098862 ft by 2 ft would have the least surface area for the problem.

    am i right or wrong?

    can you help me????

    1. 👍 0
    2. 👎 0
  5. I don't get that. I get the diameter to be 5.84 feet (twice the cube root of 25).
    You can figure the height . I get less than four feet.

    check me.

  6. how did you figure that out?

    this is what i did!

    100 divided by pie and i got 31.83098862 ft and then that multiplied by 2 is 100!

    please help me

    1. 👍 0
    2. 👎 0
  7. One note. I included the ends in the surface area. If they are not to be included, then it is a different answer.

  8. what ends?

    1. 👍 0
    2. 👎 0
  9. please help! explain it to me in a 7th grade way! i am taking pre algebra

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. MATH

    what should be the dimensions of the cylinder if you wanted it to have the least amout of surface area as possible? the cylinders volume is 100ft cubed

    asked by Mackenzie on February 4, 2008
  2. Math 8th grade algerbra

    a cylinder has a radius of 3cm and a length of 10cm every dimention of the cylinder is multiplied by 3 to form a new cylinder how is the ratio of the volumes related the ratio of corresponding dimensions? how would i do this?

    asked by Courtney on October 27, 2010
  3. Algebra

    the base of a cylinder is a right triangle topped by a 60 degrees sector of a circle, as shown. if the dimensions are in meters and the height of the cylinder is 8 meters, what is the volume of the cylinder?

    asked by Lana on September 18, 2015
  4. Geometry

    A cone has diameter 12 and height 9. A cylinder is placed inside the cone so the base of the cylinder is concentric with the base of the cone and the upper base of the cylinder is contained in the surface of the cone. If the

    asked by Help Please on May 9, 2017
  5. Geometry

    A cone has diameter 12 and height 9. A cylinder is placed inside the cone so the base of the cylinder is concentric with the base of the cone and the upper base of the cylinder is contained in the surface of the cone. If the

    asked by Henry on May 9, 2017
  6. Math

    The volume of a cylinder is 330 cm^3 . What are the dimensions of the cylinder (radius and height)?

    asked by Jason22 on October 23, 2012
  7. Pre Algabra

    If there is a cylinder that has a volume of 100 ft, what would be the DIMENSIONS of the cylinder to have to LEAST surface area?

    asked by Mackenzie on February 4, 2008
  8. Calculus

    A cylinder is inscribed in a right circular cone of height 6.5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume?

    asked by Shannon on May 2, 2013
  9. Business Calculus

    A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 8. What are the dimensions of such a cylinder which has maximum volume?

    asked by Daniela Davila on May 1, 2008
  10. Math: Calculus

    A cylinder is inscribed in a right circular cone of height 3.5 and radius (at the base) equal to 7. What are the dimensions of such a cylinder which has maximum volume?

    asked by REALLY NEED HELP!!!! on October 29, 2010

More Similar Questions