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vlada-n [284]
2 years ago
9

Joe and Sue were trying to calculate the square inches of paper needed to create a cone for the cotton candy. The radius

Mathematics
1 answer:
Feliz [49]2 years ago
7 0

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

#SPJ1

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