Help Please!! "An energy drink container in the shape of a right circular cylinder...

[Jayputnam4]

Help Please!! "An energy drink container in the shape of a right circular cylinder...

An energy drink container in the shape of a right circular cylinder must have a volume of 15 fluid ounces (1 fluid ounce is approximately 1.80469 cubic inches). The cost per square inch of constructing the top and bottom is twice the cost of constructing the lateral side. Find the dimensions that will minimize the cost. (Round your answers to two decimal places)


r=________ in
h=_______in

 

[Deleted member 4993]

An energy drink container in the shape of a right circular cylinder must have a volume of 15 fluid ounces (1 fluid ounce is approximately 1.80469 cubic inches). The cost per square inch of constructing the top and bottom is twice the cost of constructing the lateral side. Find the dimensions that will minimize the cost. (Round your answers to two decimal places)


r=________ in
h=_______in

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[stapel]

An energy drink container in the shape of a right circular cylinder must have a volume of 15 fluid ounces (1 fluid ounce is approximately 1.80469 cubic inches).

What is the formula for the volume V of a cylinder with height h and radius r? What equation can be formed by using the given volume, in cubic inches?

The cost per square inch of constructing the top and bottom is twice the cost of constructing the lateral side.

What is the formula for the surface area SA_side of the vertical portion of a cylinder with height h and radius r? What is the formula for the surface area SA_end for the two ends of the cylinder? What expressions will then stand for the two costs? What function can you then create for the total cost C of the container?

Find the dimensions that will minimize the cost.

Solve the first equation for one of the variables, either h or r. Then plug the result into the function, so you end up with a function in just one variable. Then apply the usual methods for finding the minimizing value, etc, etc.

If you get stuck, please reply showing your efforts so far, starting with your answers to the above questions, so we can see where things are going sideways. Thank you!