the volume of a cylindrical tin can with a top and a bottom is to be 16*pi cubic inces. if a minimum amont of tin is to be used to construct the can, what must be the height, in inches, of the can?

volume of cyliner is pi*r^2*h
do i like take derivitive of something since it talks about minimum. please help me. i don't get this

you want to minimize surface area.

Area= 2*2PIr + h*2PIr
but h= V/Pir^2
TAke dA/dr, set to zero, solve for r.

Then solve for h in the volume equation.

I need to know how to get the total surface area of a cylinder. The way that I get the lateral area is by taking by info for example 5cm x 12cm 60x3.14x2 =376.8cmsquared but I am trying to get the total area.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. set volume=16pi, solve for r
    then substitute r in for the surface area equation (2pirh+2pir^2)
    take the derivative
    find critical point (where derivative=0)
    then make sure that is a minimum

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. Maths

    A cylindrical tin full of engine oil has a diameter of 12cm and a height of 14cm. The oil is poured into a rectangular tin 16cm long and 11cm wide. What is the depth of the oil in the tin?

  2. Geometry

    Three balls are packaged in a cylindrical container. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 13 cm. a. What is the volume of the cylinder rounded to the nearest cubed

  3. physics

    Between each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Typically, this disc has a radius of about 2.85 10-2 m and a thickness of about 7.14 10-3 m. The shear modulus of cartilage is 1.16 107 N/m2.

  4. Maths

    A closed tin is in the shape of a cylinder of diameter 10cm and height 15cm. Use the value 3.14 for pier to find A.the total surface area B.the value of the tin to the r=nearest 10naira,if tin plate cost #4500 per m2

  1. Math

    A cylindrical tin can has a radius of 4.5cm and a height of 5 cm (a)What is the surface area of the can (b)What is its volume? (c)What is the cans capacity could somebody please answer this question so i can get past with math

  2. math

    a square sheet of tin 30cm on a side is to be used to make an open - top box by cutting a small square of tin from each corner and bending up the sides. how large should be the square cut from each corner to make the box's volume

  3. Maths

    A conoical funnel 12cm deep and 15cm in diameter is full of is emptied into a cylindrical tin 10cm in diameter.calculate the height of the liquid in the tin

  4. Mathematics

    A cylindrical iron rod 8cm height and 6cm in diameter stands in a cylindrical tin 12cm in diameter water is poured into the tin unfit it's depth is 8cm how far until the level drop when the rod is removed

  1. Calculus

    A manufacturer needs to produce a cylindrical can with a volume (capacity) of 1000cm cubed. The top and the bottom of the container are made of material that costs $0.05 per square cm, while the side of the container is made of

  2. Math

    1. Find the volume of the rectangular prism 11in (bottom) 9in(side) 3in(same side) A) 23 in ^3 B) 297 in ^3 ×××× C) 318 in ^3 D) 159 in ^3 2. Find the volume of the triangular prism. 2 ft (top bottom) 12 ft (bottom) 18 ft

  3. maths

    A closed tin is in the shape of a cylinder of diameter 10cm and height 15cm.Use the value 3.14 for pier to find: a)the total surface area of the tin, b)the value of the tin to the nearest naira if tin plate costs 450 per m2.

  4. Geometry

    Jake has two similar cylindrical pipes. The radius of the first cylindrical pipe is 5 cm. The circumference of the second cylindrical pipe is 20π cm. The volume of the second cylindrical pipe is how many times greater than the

View more similar questions or ask a new question.