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.
Calculations
Joe
2π√10+ √10
Sue
12π + 3

choose the correct statements below.

select one or more:

Sue was correct.
Joe was correct.
Sue used the correct height and radius and calculated the overlap by adding the area for the strip of glue.
Neither were correct.
Joe used the height and radius to calculate the slant height.

Answer 1

The correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

How to find the square inches of paper needed.

The square inches of paper needed A = surface area of cone +  area of overlap

Surface area of cone

The surface area of the cone is given by A = πr[r + √(h² + r²)] where

• r = radius of cone = 2 in and
• h = height of cone = 6 in.

So, A = πr[r + √(h² + r²)]

A = π × 2 × [2 + √(6² + 2²)]

A = π × 2 × [2 + √(36 + 4)]

A = π × 2 × [2 + √40]

A = π × 2 × [2 + 2√10]

A = 2π[2 + 2√10]

A = 4π + 4π√10

The area of overlap

The area of overlap A' = wL where

• w = width of overlap = 1/2 in and
• L = slant height of cone = √(h² + r²)

So, A' = wL

A' = w[√(h² + r²)]

A' =  1/2[√(6² + 2²)]

A' =  1/2[√(36 + 4)]

A' =  1/2[√40]

A' =  1/2 × 2√10

A' = √10

So, the number of square inches of paper needed is A" = A + A'

=  4π + 8π√10 + √10

Since the number of square inches of paper needed is 4π + 4π√10 + √10

So, the correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

Learn more about surface area of cone here:

https://brainly.com/question/24979679

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