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The area of waffle in the cone is the amount of space covered by the waffle
The cone has 5630 square millimeter of waffle
<h3>How to determine the surface area?</h3>
The surface area of a cone is calculated using:
A = πr * (r+(h^2 + r^2))
For the complete 72 mm tall cone, we have:
Height (h) = 72 mm
Radius (r) = 42 mm/2 = 21 mm
So, the surface area is:
A = πr * (r+(h^2 + r^2))
A = 3.142 * 21 * (21+(72^2 + 21^2))
Evaluate
A = 3.142 * 21 * (21+75)
A = 6334.272
When the cone is cut at the top, we have:
Height (h) = 24 mm
Radius (r) = 14 mm/2 = 7 mm
So, the surface area is:
A = πr * (r+(h^2 + r^2))
A = 3.142 * 7 * (7+(24^2 + 7^2))
Evaluate
A = 3.142 * 7 * (7 + 25)
A = 703.808
Calculate the difference (d) between the areas
d = 6334.272 - 2.5*703.808
Evaluate
d = 5630.464
Approximate
d = 5630
Hence, the cone has 5630 square millimeter of waffle
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