Question

PLZ HELP ME ASP
You are the owner of a local ice cream parlor. You have created a new ice cream treat to sell to your customers. It is a cone filled with ice cream that will be pre-packaged. You would like the wrapper for this new treat to be a cone shape with a circular disk top. To save on production cost you need to determine the smallest amount of paper that would be needed to wrap the ice cream cone treats. Use the discussion board to post your ideas and discuss them with your classmates. Your initial post should:

Include a detailed description of the size and shape of the wrapper. (Try using measurements for a real cone to help you come up with the actual size.)

Develop an equation to be used to calculate the surface area of the wrapper including the disk top.

Pick dimensions of the radius of your cone base and slant height to then find the surface area of your cone.

Determine the rectangular dimensions for a sheet of paper measured in centimeters to that will be large enough to create your ice cream treat wrapper.

Answer 1

Volume of cone = π.R².hH3
Lateral Area of cone = π.R.L (L = Slant)
In order not to waste paper, the "paper wrapper cone" should stringently encompass the cone of the ice cream. To that end , 
1st : Radius should same
2nd: The slant L should have a length = √(R²+H²), L being a hypotenuse
Assume that R = 3 cm and H = 4 cm, L = √(3²+4²) = √25 = 5. If so the minimum area of the paper will be: π.R.L = π.3.5 = 15.π cm²
for a volume of πR³.H/3 = π.3³.4/3 = π.9.4/3 = 12.π cm³