Question

Joe and Sue were trying to calculate the square inches of paper needed to create a cone for the cotton candy. The radius was 2 in and the height was 6 inches and there was a 1/2 in of overlap for the glue.

Answer 1

We are going to calculate the area of paper neccesary to create the cone with 2 of radius, h=6 in

The area of the cone is:

`A=\pi *r(r+a)`

We can find a using pitagoras:

`\begin{gathered} a^2=h^2+r^2 \\ a=\sqrt[\placeholder{⬚}]{h^2+r^2}=\sqrt[\placeholder{⬚}]{6^2+2^2}=2\sqrt[\placeholder{⬚}]{10} \end{gathered}`

The area is:

`\begin{gathered} A=\text{ }\pi *r*(r+a) \\ A=2\pi(2+2\sqrt[\placeholder{⬚}]{10}) \\ A=4\pi+4\pi\sqrt[\placeholder{⬚}]{10} \end{gathered}`

The answer is C.