The correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.
<h3>How to find the square inches of paper needed.</h3>
The square inches of paper needed A = surface area of cone + area of overlap
<h3>Surface area of cone</h3>
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
<h3>The area of overlap</h3>
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:
brainly.com/question/24979679
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